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Simplifying 3(5x) + 4(24) + -15x = -2(6x + 3) + 6 Remove parenthesis around (5x) 3 * 5x + 4(24) + -15x = -2(6x + 3) + 6 Multiply 3 * 5 15x + 4(24) + -15x = -2(6x + 3) + 6 Multiply 4 * 24 15x + 96 + -15x = -2(6x + 3) + 6 Reorder the terms: 96 + 15x + -15x = -2(6x + 3) + 6 Combine like terms: 15x + -15x = 0 96 + 0 = -2(6x + 3) + 6 96 = -2(6x + 3) + 6 Reorder the terms: 96 = -2(3 + 6x) + 6 96 = (3 * -2 + 6x * -2) + 6 96 = (-6 + -12x) + 6 Reorder the terms: 96 = -6 + 6 + -12x Combine like terms: -6 + 6 = 0 96 = 0 + -12x 96 = -12x Solving 96 = -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 96 + 12x = -12x + 12x Combine like terms: -12x + 12x = 0 96 + 12x = 0 Add '-96' to each side of the equation. 96 + -96 + 12x = 0 + -96 Combine like terms: 96 + -96 = 0 0 + 12x = 0 + -96 12x = 0 + -96 Combine like terms: 0 + -96 = -96 12x = -96 Divide each side by '12'. x = -8 Simplifying x = -8
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