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Simplifying 4 + 5(3x + -2) = -2(x + 6) + -1 Reorder the terms: 4 + 5(-2 + 3x) = -2(x + 6) + -1 4 + (-2 * 5 + 3x * 5) = -2(x + 6) + -1 4 + (-10 + 15x) = -2(x + 6) + -1 Combine like terms: 4 + -10 = -6 -6 + 15x = -2(x + 6) + -1 Reorder the terms: -6 + 15x = -2(6 + x) + -1 -6 + 15x = (6 * -2 + x * -2) + -1 -6 + 15x = (-12 + -2x) + -1 Reorder the terms: -6 + 15x = -12 + -1 + -2x Combine like terms: -12 + -1 = -13 -6 + 15x = -13 + -2x Solving -6 + 15x = -13 + -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. -6 + 15x + 2x = -13 + -2x + 2x Combine like terms: 15x + 2x = 17x -6 + 17x = -13 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 17x = -13 + 0 -6 + 17x = -13 Add '6' to each side of the equation. -6 + 6 + 17x = -13 + 6 Combine like terms: -6 + 6 = 0 0 + 17x = -13 + 6 17x = -13 + 6 Combine like terms: -13 + 6 = -7 17x = -7 Divide each side by '17'. x = -0.4117647059 Simplifying x = -0.4117647059
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