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Simplifying 6x + -3(4 + -5x) = 2(x + -2) + 1 6x + (4 * -3 + -5x * -3) = 2(x + -2) + 1 6x + (-12 + 15x) = 2(x + -2) + 1 Reorder the terms: -12 + 6x + 15x = 2(x + -2) + 1 Combine like terms: 6x + 15x = 21x -12 + 21x = 2(x + -2) + 1 Reorder the terms: -12 + 21x = 2(-2 + x) + 1 -12 + 21x = (-2 * 2 + x * 2) + 1 -12 + 21x = (-4 + 2x) + 1 Reorder the terms: -12 + 21x = -4 + 1 + 2x Combine like terms: -4 + 1 = -3 -12 + 21x = -3 + 2x Solving -12 + 21x = -3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12 + 21x + -2x = -3 + 2x + -2x Combine like terms: 21x + -2x = 19x -12 + 19x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 19x = -3 + 0 -12 + 19x = -3 Add '12' to each side of the equation. -12 + 12 + 19x = -3 + 12 Combine like terms: -12 + 12 = 0 0 + 19x = -3 + 12 19x = -3 + 12 Combine like terms: -3 + 12 = 9 19x = 9 Divide each side by '19'. x = 0.4736842105 Simplifying x = 0.4736842105
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