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Simplifying 5(3x + -1) + -2(2 + -3x) + 2 = 2(2x + -1) + -5(2 + -3X) Reorder the terms: 5(-1 + 3x) + -2(2 + -3x) + 2 = 2(2x + -1) + -5(2 + -3X) (-1 * 5 + 3x * 5) + -2(2 + -3x) + 2 = 2(2x + -1) + -5(2 + -3X) (-5 + 15x) + -2(2 + -3x) + 2 = 2(2x + -1) + -5(2 + -3X) -5 + 15x + (2 * -2 + -3x * -2) + 2 = 2(2x + -1) + -5(2 + -3X) -5 + 15x + (-4 + 6x) + 2 = 2(2x + -1) + -5(2 + -3X) Reorder the terms: -5 + -4 + 2 + 15x + 6x = 2(2x + -1) + -5(2 + -3X) Combine like terms: -5 + -4 = -9 -9 + 2 + 15x + 6x = 2(2x + -1) + -5(2 + -3X) Combine like terms: -9 + 2 = -7 -7 + 15x + 6x = 2(2x + -1) + -5(2 + -3X) Combine like terms: 15x + 6x = 21x -7 + 21x = 2(2x + -1) + -5(2 + -3X) Reorder the terms: -7 + 21x = 2(-1 + 2x) + -5(2 + -3X) -7 + 21x = (-1 * 2 + 2x * 2) + -5(2 + -3X) -7 + 21x = (-2 + 4x) + -5(2 + -3X) -7 + 21x = -2 + 4x + (2 * -5 + -3X * -5) -7 + 21x = -2 + 4x + (-10 + 15X) Reorder the terms: -7 + 21x = -2 + -10 + 15X + 4x Combine like terms: -2 + -10 = -12 -7 + 21x = -12 + 15X + 4x Solving -7 + 21x = -12 + 15X + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -7 + 21x + -4x = -12 + 15X + 4x + -4x Combine like terms: 21x + -4x = 17x -7 + 17x = -12 + 15X + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + 17x = -12 + 15X + 0 -7 + 17x = -12 + 15X Add '7' to each side of the equation. -7 + 7 + 17x = -12 + 7 + 15X Combine like terms: -7 + 7 = 0 0 + 17x = -12 + 7 + 15X 17x = -12 + 7 + 15X Combine like terms: -12 + 7 = -5 17x = -5 + 15X Divide each side by '17'. x = -0.2941176471 + 0.8823529412X Simplifying x = -0.2941176471 + 0.8823529412X
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