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Simplifying 6[3x + -1(4x + 3) + 8] = 10x + 24 Reorder the terms: 6[3x + -1(3 + 4x) + 8] = 10x + 24 6[3x + (3 * -1 + 4x * -1) + 8] = 10x + 24 6[3x + (-3 + -4x) + 8] = 10x + 24 Reorder the terms: 6[-3 + 8 + 3x + -4x] = 10x + 24 Combine like terms: -3 + 8 = 5 6[5 + 3x + -4x] = 10x + 24 Combine like terms: 3x + -4x = -1x 6[5 + -1x] = 10x + 24 [5 * 6 + -1x * 6] = 10x + 24 [30 + -6x] = 10x + 24 Reorder the terms: 30 + -6x = 24 + 10x Solving 30 + -6x = 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. 30 + -6x + -10x = 24 + 10x + -10x Combine like terms: -6x + -10x = -16x 30 + -16x = 24 + 10x + -10x Combine like terms: 10x + -10x = 0 30 + -16x = 24 + 0 30 + -16x = 24 Add '-30' to each side of the equation. 30 + -30 + -16x = 24 + -30 Combine like terms: 30 + -30 = 0 0 + -16x = 24 + -30 -16x = 24 + -30 Combine like terms: 24 + -30 = -6 -16x = -6 Divide each side by '-16'. x = 0.375 Simplifying x = 0.375
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