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Simplifying 4[6x + -5(x + -3)] = 10x + 24 Reorder the terms: 4[6x + -5(-3 + x)] = 10x + 24 4[6x + (-3 * -5 + x * -5)] = 10x + 24 4[6x + (15 + -5x)] = 10x + 24 Reorder the terms: 4[15 + 6x + -5x] = 10x + 24 Combine like terms: 6x + -5x = 1x 4[15 + 1x] = 10x + 24 [15 * 4 + 1x * 4] = 10x + 24 [60 + 4x] = 10x + 24 Reorder the terms: 60 + 4x = 24 + 10x Solving 60 + 4x = 24 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 60 + 4x + -10x = 24 + 10x + -10x Combine like terms: 4x + -10x = -6x 60 + -6x = 24 + 10x + -10x Combine like terms: 10x + -10x = 0 60 + -6x = 24 + 0 60 + -6x = 24 Add '-60' to each side of the equation. 60 + -60 + -6x = 24 + -60 Combine like terms: 60 + -60 = 0 0 + -6x = 24 + -60 -6x = 24 + -60 Combine like terms: 24 + -60 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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