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Simplifying 4(2x + -3) + 5 = -6(x + -4) + 12x + -31 Reorder the terms: 4(-3 + 2x) + 5 = -6(x + -4) + 12x + -31 (-3 * 4 + 2x * 4) + 5 = -6(x + -4) + 12x + -31 (-12 + 8x) + 5 = -6(x + -4) + 12x + -31 Reorder the terms: -12 + 5 + 8x = -6(x + -4) + 12x + -31 Combine like terms: -12 + 5 = -7 -7 + 8x = -6(x + -4) + 12x + -31 Reorder the terms: -7 + 8x = -6(-4 + x) + 12x + -31 -7 + 8x = (-4 * -6 + x * -6) + 12x + -31 -7 + 8x = (24 + -6x) + 12x + -31 Reorder the terms: -7 + 8x = 24 + -31 + -6x + 12x Combine like terms: 24 + -31 = -7 -7 + 8x = -7 + -6x + 12x Combine like terms: -6x + 12x = 6x -7 + 8x = -7 + 6x Add '7' to each side of the equation. -7 + 7 + 8x = -7 + 7 + 6x Combine like terms: -7 + 7 = 0 0 + 8x = -7 + 7 + 6x 8x = -7 + 7 + 6x Combine like terms: -7 + 7 = 0 8x = 0 + 6x 8x = 6x Solving 8x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8x + -6x = 6x + -6x Combine like terms: 8x + -6x = 2x 2x = 6x + -6x Combine like terms: 6x + -6x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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