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Simplifying 5[3 + -3(x + 1)] + 1 = 2(-24 + -1x) + 2x + 24 Reorder the terms: 5[3 + -3(1 + x)] + 1 = 2(-24 + -1x) + 2x + 24 5[3 + (1 * -3 + x * -3)] + 1 = 2(-24 + -1x) + 2x + 24 5[3 + (-3 + -3x)] + 1 = 2(-24 + -1x) + 2x + 24 Combine like terms: 3 + -3 = 0 5[0 + -3x] + 1 = 2(-24 + -1x) + 2x + 24 5[-3x] + 1 = 2(-24 + -1x) + 2x + 24 Remove brackets around [-3x] 5 * -3x + 1 = 2(-24 + -1x) + 2x + 24 Multiply 5 * -3 -15x + 1 = 2(-24 + -1x) + 2x + 24 Reorder the terms: 1 + -15x = 2(-24 + -1x) + 2x + 24 1 + -15x = (-24 * 2 + -1x * 2) + 2x + 24 1 + -15x = (-48 + -2x) + 2x + 24 Reorder the terms: 1 + -15x = -48 + 24 + -2x + 2x Combine like terms: -48 + 24 = -24 1 + -15x = -24 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + -15x = -24 + 0 1 + -15x = -24 Solving 1 + -15x = -24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -15x = -24 + -1 Combine like terms: 1 + -1 = 0 0 + -15x = -24 + -1 -15x = -24 + -1 Combine like terms: -24 + -1 = -25 -15x = -25 Divide each side by '-15'. x = 1.666666667 Simplifying x = 1.666666667
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