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Simplifying 3[(3x + -4) + -4] + -7 = -2[2(-2x + 5) + 5] + 5 Reorder the terms: 3[(-4 + 3x) + -4] + -7 = -2[2(-2x + 5) + 5] + 5 Remove parenthesis around (-4 + 3x) 3[-4 + 3x + -4] + -7 = -2[2(-2x + 5) + 5] + 5 Reorder the terms: 3[-4 + -4 + 3x] + -7 = -2[2(-2x + 5) + 5] + 5 Combine like terms: -4 + -4 = -8 3[-8 + 3x] + -7 = -2[2(-2x + 5) + 5] + 5 [-8 * 3 + 3x * 3] + -7 = -2[2(-2x + 5) + 5] + 5 [-24 + 9x] + -7 = -2[2(-2x + 5) + 5] + 5 Reorder the terms: -24 + -7 + 9x = -2[2(-2x + 5) + 5] + 5 Combine like terms: -24 + -7 = -31 -31 + 9x = -2[2(-2x + 5) + 5] + 5 Reorder the terms: -31 + 9x = -2[2(5 + -2x) + 5] + 5 -31 + 9x = -2[(5 * 2 + -2x * 2) + 5] + 5 -31 + 9x = -2[(10 + -4x) + 5] + 5 Reorder the terms: -31 + 9x = -2[10 + 5 + -4x] + 5 Combine like terms: 10 + 5 = 15 -31 + 9x = -2[15 + -4x] + 5 -31 + 9x = [15 * -2 + -4x * -2] + 5 -31 + 9x = [-30 + 8x] + 5 Reorder the terms: -31 + 9x = -30 + 5 + 8x Combine like terms: -30 + 5 = -25 -31 + 9x = -25 + 8x Solving -31 + 9x = -25 + 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. -31 + 9x + -8x = -25 + 8x + -8x Combine like terms: 9x + -8x = 1x -31 + 1x = -25 + 8x + -8x Combine like terms: 8x + -8x = 0 -31 + 1x = -25 + 0 -31 + 1x = -25 Add '31' to each side of the equation. -31 + 31 + 1x = -25 + 31 Combine like terms: -31 + 31 = 0 0 + 1x = -25 + 31 1x = -25 + 31 Combine like terms: -25 + 31 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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