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Simplifying 2x + 7 = 3(x + -4) Reorder the terms: 7 + 2x = 3(x + -4) Reorder the terms: 7 + 2x = 3(-4 + x) 7 + 2x = (-4 * 3 + x * 3) 7 + 2x = (-12 + 3x) Solving 7 + 2x = -12 + 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. 7 + 2x + -3x = -12 + 3x + -3x Combine like terms: 2x + -3x = -1x 7 + -1x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + -1x = -12 + 0 7 + -1x = -12 Add '-7' to each side of the equation. 7 + -7 + -1x = -12 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = -12 + -7 -1x = -12 + -7 Combine like terms: -12 + -7 = -19 -1x = -19 Divide each side by '-1'. x = 19 Simplifying x = 19
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