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Simplifying 3 + 2(x + -6) + 5 + -3(x + -4) = 6x Reorder the terms: 3 + 2(-6 + x) + 5 + -3(x + -4) = 6x 3 + (-6 * 2 + x * 2) + 5 + -3(x + -4) = 6x 3 + (-12 + 2x) + 5 + -3(x + -4) = 6x Reorder the terms: 3 + -12 + 2x + 5 + -3(-4 + x) = 6x 3 + -12 + 2x + 5 + (-4 * -3 + x * -3) = 6x 3 + -12 + 2x + 5 + (12 + -3x) = 6x Reorder the terms: 3 + -12 + 5 + 12 + 2x + -3x = 6x Combine like terms: 3 + -12 = -9 -9 + 5 + 12 + 2x + -3x = 6x Combine like terms: -9 + 5 = -4 -4 + 12 + 2x + -3x = 6x Combine like terms: -4 + 12 = 8 8 + 2x + -3x = 6x Combine like terms: 2x + -3x = -1x 8 + -1x = 6x Solving 8 + -1x = 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. 8 + -1x + -6x = 6x + -6x Combine like terms: -1x + -6x = -7x 8 + -7x = 6x + -6x Combine like terms: 6x + -6x = 0 8 + -7x = 0 Add '-8' to each side of the equation. 8 + -8 + -7x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = 0 + -8 -7x = 0 + -8 Combine like terms: 0 + -8 = -8 -7x = -8 Divide each side by '-7'. x = 1.142857143 Simplifying x = 1.142857143
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