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Simplifying 5[3(x + 4) + -1(1 + -1x)] + -1x + -15 = 14x + 45 Reorder the terms: 5[3(4 + x) + -1(1 + -1x)] + -1x + -15 = 14x + 45 5[(4 * 3 + x * 3) + -1(1 + -1x)] + -1x + -15 = 14x + 45 5[(12 + 3x) + -1(1 + -1x)] + -1x + -15 = 14x + 45 5[12 + 3x + (1 * -1 + -1x * -1)] + -1x + -15 = 14x + 45 5[12 + 3x + (-1 + 1x)] + -1x + -15 = 14x + 45 Reorder the terms: 5[12 + -1 + 3x + 1x] + -1x + -15 = 14x + 45 Combine like terms: 12 + -1 = 11 5[11 + 3x + 1x] + -1x + -15 = 14x + 45 Combine like terms: 3x + 1x = 4x 5[11 + 4x] + -1x + -15 = 14x + 45 [11 * 5 + 4x * 5] + -1x + -15 = 14x + 45 [55 + 20x] + -1x + -15 = 14x + 45 Reorder the terms: 55 + -15 + 20x + -1x = 14x + 45 Combine like terms: 55 + -15 = 40 40 + 20x + -1x = 14x + 45 Combine like terms: 20x + -1x = 19x 40 + 19x = 14x + 45 Reorder the terms: 40 + 19x = 45 + 14x Solving 40 + 19x = 45 + 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. 40 + 19x + -14x = 45 + 14x + -14x Combine like terms: 19x + -14x = 5x 40 + 5x = 45 + 14x + -14x Combine like terms: 14x + -14x = 0 40 + 5x = 45 + 0 40 + 5x = 45 Add '-40' to each side of the equation. 40 + -40 + 5x = 45 + -40 Combine like terms: 40 + -40 = 0 0 + 5x = 45 + -40 5x = 45 + -40 Combine like terms: 45 + -40 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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