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Simplifying 5[3(x + 4) + -2(1 + -1x)] + -1x + -15 = 14x + 65 Reorder the terms: 5[3(4 + x) + -2(1 + -1x)] + -1x + -15 = 14x + 65 5[(4 * 3 + x * 3) + -2(1 + -1x)] + -1x + -15 = 14x + 65 5[(12 + 3x) + -2(1 + -1x)] + -1x + -15 = 14x + 65 5[12 + 3x + (1 * -2 + -1x * -2)] + -1x + -15 = 14x + 65 5[12 + 3x + (-2 + 2x)] + -1x + -15 = 14x + 65 Reorder the terms: 5[12 + -2 + 3x + 2x] + -1x + -15 = 14x + 65 Combine like terms: 12 + -2 = 10 5[10 + 3x + 2x] + -1x + -15 = 14x + 65 Combine like terms: 3x + 2x = 5x 5[10 + 5x] + -1x + -15 = 14x + 65 [10 * 5 + 5x * 5] + -1x + -15 = 14x + 65 [50 + 25x] + -1x + -15 = 14x + 65 Reorder the terms: 50 + -15 + 25x + -1x = 14x + 65 Combine like terms: 50 + -15 = 35 35 + 25x + -1x = 14x + 65 Combine like terms: 25x + -1x = 24x 35 + 24x = 14x + 65 Reorder the terms: 35 + 24x = 65 + 14x Solving 35 + 24x = 65 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 35 + 24x + -14x = 65 + 14x + -14x Combine like terms: 24x + -14x = 10x 35 + 10x = 65 + 14x + -14x Combine like terms: 14x + -14x = 0 35 + 10x = 65 + 0 35 + 10x = 65 Add '-35' to each side of the equation. 35 + -35 + 10x = 65 + -35 Combine like terms: 35 + -35 = 0 0 + 10x = 65 + -35 10x = 65 + -35 Combine like terms: 65 + -35 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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