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Simplifying 3(4x) + 4(12) + -12x = -2(4x + 5) + 10 Remove parenthesis around (4x) 3 * 4x + 4(12) + -12x = -2(4x + 5) + 10 Multiply 3 * 4 12x + 4(12) + -12x = -2(4x + 5) + 10 Multiply 4 * 12 12x + 48 + -12x = -2(4x + 5) + 10 Reorder the terms: 48 + 12x + -12x = -2(4x + 5) + 10 Combine like terms: 12x + -12x = 0 48 + 0 = -2(4x + 5) + 10 48 = -2(4x + 5) + 10 Reorder the terms: 48 = -2(5 + 4x) + 10 48 = (5 * -2 + 4x * -2) + 10 48 = (-10 + -8x) + 10 Reorder the terms: 48 = -10 + 10 + -8x Combine like terms: -10 + 10 = 0 48 = 0 + -8x 48 = -8x Solving 48 = -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 48 + 8x = -8x + 8x Combine like terms: -8x + 8x = 0 48 + 8x = 0 Add '-48' to each side of the equation. 48 + -48 + 8x = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 8x = 0 + -48 8x = 0 + -48 Combine like terms: 0 + -48 = -48 8x = -48 Divide each side by '8'. x = -6 Simplifying x = -6
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