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Simplifying -4 + 3x + 7 = 4(x + 2) + -2 Reorder the terms: -4 + 7 + 3x = 4(x + 2) + -2 Combine like terms: -4 + 7 = 3 3 + 3x = 4(x + 2) + -2 Reorder the terms: 3 + 3x = 4(2 + x) + -2 3 + 3x = (2 * 4 + x * 4) + -2 3 + 3x = (8 + 4x) + -2 Reorder the terms: 3 + 3x = 8 + -2 + 4x Combine like terms: 8 + -2 = 6 3 + 3x = 6 + 4x Solving 3 + 3x = 6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3 + 3x + -4x = 6 + 4x + -4x Combine like terms: 3x + -4x = -1x 3 + -1x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + -1x = 6 + 0 3 + -1x = 6 Add '-3' to each side of the equation. 3 + -3 + -1x = 6 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 6 + -3 -1x = 6 + -3 Combine like terms: 6 + -3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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