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Simplifying 8x + -4(2x + -3) + -5x = 4x + 3(2x + -3) + 2 Reorder the terms: 8x + -4(-3 + 2x) + -5x = 4x + 3(2x + -3) + 2 8x + (-3 * -4 + 2x * -4) + -5x = 4x + 3(2x + -3) + 2 8x + (12 + -8x) + -5x = 4x + 3(2x + -3) + 2 Reorder the terms: 12 + 8x + -8x + -5x = 4x + 3(2x + -3) + 2 Combine like terms: 8x + -8x = 0 12 + 0 + -5x = 4x + 3(2x + -3) + 2 12 + -5x = 4x + 3(2x + -3) + 2 Reorder the terms: 12 + -5x = 4x + 3(-3 + 2x) + 2 12 + -5x = 4x + (-3 * 3 + 2x * 3) + 2 12 + -5x = 4x + (-9 + 6x) + 2 Reorder the terms: 12 + -5x = -9 + 2 + 4x + 6x Combine like terms: -9 + 2 = -7 12 + -5x = -7 + 4x + 6x Combine like terms: 4x + 6x = 10x 12 + -5x = -7 + 10x Solving 12 + -5x = -7 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 12 + -5x + -10x = -7 + 10x + -10x Combine like terms: -5x + -10x = -15x 12 + -15x = -7 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -15x = -7 + 0 12 + -15x = -7 Add '-12' to each side of the equation. 12 + -12 + -15x = -7 + -12 Combine like terms: 12 + -12 = 0 0 + -15x = -7 + -12 -15x = -7 + -12 Combine like terms: -7 + -12 = -19 -15x = -19 Divide each side by '-15'. x = 1.266666667 Simplifying x = 1.266666667
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