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Simplifying 3(x + -7) + 5 = 5(x + 4) Reorder the terms: 3(-7 + x) + 5 = 5(x + 4) (-7 * 3 + x * 3) + 5 = 5(x + 4) (-21 + 3x) + 5 = 5(x + 4) Reorder the terms: -21 + 5 + 3x = 5(x + 4) Combine like terms: -21 + 5 = -16 -16 + 3x = 5(x + 4) Reorder the terms: -16 + 3x = 5(4 + x) -16 + 3x = (4 * 5 + x * 5) -16 + 3x = (20 + 5x) Solving -16 + 3x = 20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -16 + 3x + -5x = 20 + 5x + -5x Combine like terms: 3x + -5x = -2x -16 + -2x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 -16 + -2x = 20 + 0 -16 + -2x = 20 Add '16' to each side of the equation. -16 + 16 + -2x = 20 + 16 Combine like terms: -16 + 16 = 0 0 + -2x = 20 + 16 -2x = 20 + 16 Combine like terms: 20 + 16 = 36 -2x = 36 Divide each side by '-2'. x = -18 Simplifying x = -18
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