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Simplifying -2(x + -3) + 7x = 3x + 3(x + -4) Reorder the terms: -2(-3 + x) + 7x = 3x + 3(x + -4) (-3 * -2 + x * -2) + 7x = 3x + 3(x + -4) (6 + -2x) + 7x = 3x + 3(x + -4) Combine like terms: -2x + 7x = 5x 6 + 5x = 3x + 3(x + -4) Reorder the terms: 6 + 5x = 3x + 3(-4 + x) 6 + 5x = 3x + (-4 * 3 + x * 3) 6 + 5x = 3x + (-12 + 3x) Reorder the terms: 6 + 5x = -12 + 3x + 3x Combine like terms: 3x + 3x = 6x 6 + 5x = -12 + 6x Solving 6 + 5x = -12 + 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. 6 + 5x + -6x = -12 + 6x + -6x Combine like terms: 5x + -6x = -1x 6 + -1x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -1x = -12 + 0 6 + -1x = -12 Add '-6' to each side of the equation. 6 + -6 + -1x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = -12 + -6 -1x = -12 + -6 Combine like terms: -12 + -6 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18
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