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Simplifying 5x + -12 = 7(x + -4) Reorder the terms: -12 + 5x = 7(x + -4) Reorder the terms: -12 + 5x = 7(-4 + x) -12 + 5x = (-4 * 7 + x * 7) -12 + 5x = (-28 + 7x) Solving -12 + 5x = -28 + 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 + 5x + -7x = -28 + 7x + -7x Combine like terms: 5x + -7x = -2x -12 + -2x = -28 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 + -2x = -28 + 0 -12 + -2x = -28 Add '12' to each side of the equation. -12 + 12 + -2x = -28 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = -28 + 12 -2x = -28 + 12 Combine like terms: -28 + 12 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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