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Simplifying 4(x + -6) + -7 = -2(-7x + 8) + -1x Reorder the terms: 4(-6 + x) + -7 = -2(-7x + 8) + -1x (-6 * 4 + x * 4) + -7 = -2(-7x + 8) + -1x (-24 + 4x) + -7 = -2(-7x + 8) + -1x Reorder the terms: -24 + -7 + 4x = -2(-7x + 8) + -1x Combine like terms: -24 + -7 = -31 -31 + 4x = -2(-7x + 8) + -1x Reorder the terms: -31 + 4x = -2(8 + -7x) + -1x -31 + 4x = (8 * -2 + -7x * -2) + -1x -31 + 4x = (-16 + 14x) + -1x Combine like terms: 14x + -1x = 13x -31 + 4x = -16 + 13x Solving -31 + 4x = -16 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -31 + 4x + -13x = -16 + 13x + -13x Combine like terms: 4x + -13x = -9x -31 + -9x = -16 + 13x + -13x Combine like terms: 13x + -13x = 0 -31 + -9x = -16 + 0 -31 + -9x = -16 Add '31' to each side of the equation. -31 + 31 + -9x = -16 + 31 Combine like terms: -31 + 31 = 0 0 + -9x = -16 + 31 -9x = -16 + 31 Combine like terms: -16 + 31 = 15 -9x = 15 Divide each side by '-9'. x = -1.666666667 Simplifying x = -1.666666667
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