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Simplifying 8x + -3(4x + -7) + -5 = 5(-6x + 3) + -12 Reorder the terms: 8x + -3(-7 + 4x) + -5 = 5(-6x + 3) + -12 8x + (-7 * -3 + 4x * -3) + -5 = 5(-6x + 3) + -12 8x + (21 + -12x) + -5 = 5(-6x + 3) + -12 Reorder the terms: 21 + -5 + 8x + -12x = 5(-6x + 3) + -12 Combine like terms: 21 + -5 = 16 16 + 8x + -12x = 5(-6x + 3) + -12 Combine like terms: 8x + -12x = -4x 16 + -4x = 5(-6x + 3) + -12 Reorder the terms: 16 + -4x = 5(3 + -6x) + -12 16 + -4x = (3 * 5 + -6x * 5) + -12 16 + -4x = (15 + -30x) + -12 Reorder the terms: 16 + -4x = 15 + -12 + -30x Combine like terms: 15 + -12 = 3 16 + -4x = 3 + -30x Solving 16 + -4x = 3 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. 16 + -4x + 30x = 3 + -30x + 30x Combine like terms: -4x + 30x = 26x 16 + 26x = 3 + -30x + 30x Combine like terms: -30x + 30x = 0 16 + 26x = 3 + 0 16 + 26x = 3 Add '-16' to each side of the equation. 16 + -16 + 26x = 3 + -16 Combine like terms: 16 + -16 = 0 0 + 26x = 3 + -16 26x = 3 + -16 Combine like terms: 3 + -16 = -13 26x = -13 Divide each side by '26'. x = -0.5 Simplifying x = -0.5
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