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Simplifying -3(2x + -7) + 4x = 2(x + 3) + -3x Reorder the terms: -3(-7 + 2x) + 4x = 2(x + 3) + -3x (-7 * -3 + 2x * -3) + 4x = 2(x + 3) + -3x (21 + -6x) + 4x = 2(x + 3) + -3x Combine like terms: -6x + 4x = -2x 21 + -2x = 2(x + 3) + -3x Reorder the terms: 21 + -2x = 2(3 + x) + -3x 21 + -2x = (3 * 2 + x * 2) + -3x 21 + -2x = (6 + 2x) + -3x Combine like terms: 2x + -3x = -1x 21 + -2x = 6 + -1x Solving 21 + -2x = 6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 21 + -2x + x = 6 + -1x + x Combine like terms: -2x + x = -1x 21 + -1x = 6 + -1x + x Combine like terms: -1x + x = 0 21 + -1x = 6 + 0 21 + -1x = 6 Add '-21' to each side of the equation. 21 + -21 + -1x = 6 + -21 Combine like terms: 21 + -21 = 0 0 + -1x = 6 + -21 -1x = 6 + -21 Combine like terms: 6 + -21 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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