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Simplifying 2(x + -4) + -7 = 3x + 7 Reorder the terms: 2(-4 + x) + -7 = 3x + 7 (-4 * 2 + x * 2) + -7 = 3x + 7 (-8 + 2x) + -7 = 3x + 7 Reorder the terms: -8 + -7 + 2x = 3x + 7 Combine like terms: -8 + -7 = -15 -15 + 2x = 3x + 7 Reorder the terms: -15 + 2x = 7 + 3x Solving -15 + 2x = 7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -15 + 2x + -3x = 7 + 3x + -3x Combine like terms: 2x + -3x = -1x -15 + -1x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 -15 + -1x = 7 + 0 -15 + -1x = 7 Add '15' to each side of the equation. -15 + 15 + -1x = 7 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = 7 + 15 -1x = 7 + 15 Combine like terms: 7 + 15 = 22 -1x = 22 Divide each side by '-1'. x = -22 Simplifying x = -22
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