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Simplifying 3x + 7(-1x + 4) = 2(x + -5) + 6x Reorder the terms: 3x + 7(4 + -1x) = 2(x + -5) + 6x 3x + (4 * 7 + -1x * 7) = 2(x + -5) + 6x 3x + (28 + -7x) = 2(x + -5) + 6x Reorder the terms: 28 + 3x + -7x = 2(x + -5) + 6x Combine like terms: 3x + -7x = -4x 28 + -4x = 2(x + -5) + 6x Reorder the terms: 28 + -4x = 2(-5 + x) + 6x 28 + -4x = (-5 * 2 + x * 2) + 6x 28 + -4x = (-10 + 2x) + 6x Combine like terms: 2x + 6x = 8x 28 + -4x = -10 + 8x Solving 28 + -4x = -10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 28 + -4x + -8x = -10 + 8x + -8x Combine like terms: -4x + -8x = -12x 28 + -12x = -10 + 8x + -8x Combine like terms: 8x + -8x = 0 28 + -12x = -10 + 0 28 + -12x = -10 Add '-28' to each side of the equation. 28 + -28 + -12x = -10 + -28 Combine like terms: 28 + -28 = 0 0 + -12x = -10 + -28 -12x = -10 + -28 Combine like terms: -10 + -28 = -38 -12x = -38 Divide each side by '-12'. x = 3.166666667 Simplifying x = 3.166666667
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