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Simplifying 3[x + 5(6 + -1x) + 24] + -10 = 80 + -15x 3[x + (6 * 5 + -1x * 5) + 24] + -10 = 80 + -15x 3[x + (30 + -5x) + 24] + -10 = 80 + -15x Reorder the terms: 3[30 + 24 + x + -5x] + -10 = 80 + -15x Combine like terms: 30 + 24 = 54 3[54 + x + -5x] + -10 = 80 + -15x Combine like terms: x + -5x = -4x 3[54 + -4x] + -10 = 80 + -15x [54 * 3 + -4x * 3] + -10 = 80 + -15x [162 + -12x] + -10 = 80 + -15x Reorder the terms: 162 + -10 + -12x = 80 + -15x Combine like terms: 162 + -10 = 152 152 + -12x = 80 + -15x Solving 152 + -12x = 80 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 152 + -12x + 15x = 80 + -15x + 15x Combine like terms: -12x + 15x = 3x 152 + 3x = 80 + -15x + 15x Combine like terms: -15x + 15x = 0 152 + 3x = 80 + 0 152 + 3x = 80 Add '-152' to each side of the equation. 152 + -152 + 3x = 80 + -152 Combine like terms: 152 + -152 = 0 0 + 3x = 80 + -152 3x = 80 + -152 Combine like terms: 80 + -152 = -72 3x = -72 Divide each side by '3'. x = -24 Simplifying x = -24
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