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Simplifying 4(x + -3) = 7(x + 12) Reorder the terms: 4(-3 + x) = 7(x + 12) (-3 * 4 + x * 4) = 7(x + 12) (-12 + 4x) = 7(x + 12) Reorder the terms: -12 + 4x = 7(12 + x) -12 + 4x = (12 * 7 + x * 7) -12 + 4x = (84 + 7x) Solving -12 + 4x = 84 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -12 + 4x + -7x = 84 + 7x + -7x Combine like terms: 4x + -7x = -3x -12 + -3x = 84 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 + -3x = 84 + 0 -12 + -3x = 84 Add '12' to each side of the equation. -12 + 12 + -3x = 84 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = 84 + 12 -3x = 84 + 12 Combine like terms: 84 + 12 = 96 -3x = 96 Divide each side by '-3'. x = -32 Simplifying x = -32
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