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Simplifying 7(x + -6) + 18 = 3(x + -4) Reorder the terms: 7(-6 + x) + 18 = 3(x + -4) (-6 * 7 + x * 7) + 18 = 3(x + -4) (-42 + 7x) + 18 = 3(x + -4) Reorder the terms: -42 + 18 + 7x = 3(x + -4) Combine like terms: -42 + 18 = -24 -24 + 7x = 3(x + -4) Reorder the terms: -24 + 7x = 3(-4 + x) -24 + 7x = (-4 * 3 + x * 3) -24 + 7x = (-12 + 3x) Solving -24 + 7x = -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. -24 + 7x + -3x = -12 + 3x + -3x Combine like terms: 7x + -3x = 4x -24 + 4x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -24 + 4x = -12 + 0 -24 + 4x = -12 Add '24' to each side of the equation. -24 + 24 + 4x = -12 + 24 Combine like terms: -24 + 24 = 0 0 + 4x = -12 + 24 4x = -12 + 24 Combine like terms: -12 + 24 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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