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Simplifying 4(x + -3) = 5(x + 7) Reorder the terms: 4(-3 + x) = 5(x + 7) (-3 * 4 + x * 4) = 5(x + 7) (-12 + 4x) = 5(x + 7) Reorder the terms: -12 + 4x = 5(7 + x) -12 + 4x = (7 * 5 + x * 5) -12 + 4x = (35 + 5x) Solving -12 + 4x = 35 + 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. -12 + 4x + -5x = 35 + 5x + -5x Combine like terms: 4x + -5x = -1x -12 + -1x = 35 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + -1x = 35 + 0 -12 + -1x = 35 Add '12' to each side of the equation. -12 + 12 + -1x = 35 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 35 + 12 -1x = 35 + 12 Combine like terms: 35 + 12 = 47 -1x = 47 Divide each side by '-1'. x = -47 Simplifying x = -47
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