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Simplifying 3(x + 2) + -4(x + -1) = 6x Reorder the terms: 3(2 + x) + -4(x + -1) = 6x (2 * 3 + x * 3) + -4(x + -1) = 6x (6 + 3x) + -4(x + -1) = 6x Reorder the terms: 6 + 3x + -4(-1 + x) = 6x 6 + 3x + (-1 * -4 + x * -4) = 6x 6 + 3x + (4 + -4x) = 6x Reorder the terms: 6 + 4 + 3x + -4x = 6x Combine like terms: 6 + 4 = 10 10 + 3x + -4x = 6x Combine like terms: 3x + -4x = -1x 10 + -1x = 6x Solving 10 + -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. 10 + -1x + -6x = 6x + -6x Combine like terms: -1x + -6x = -7x 10 + -7x = 6x + -6x Combine like terms: 6x + -6x = 0 10 + -7x = 0 Add '-10' to each side of the equation. 10 + -10 + -7x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -7x = 0 + -10 -7x = 0 + -10 Combine like terms: 0 + -10 = -10 -7x = -10 Divide each side by '-7'. x = 1.428571429 Simplifying x = 1.428571429
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