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Simplifying 5x + 2(14 + -1x) = 5x + -1(28 + -1x) + 4x 5x + (14 * 2 + -1x * 2) = 5x + -1(28 + -1x) + 4x 5x + (28 + -2x) = 5x + -1(28 + -1x) + 4x Reorder the terms: 28 + 5x + -2x = 5x + -1(28 + -1x) + 4x Combine like terms: 5x + -2x = 3x 28 + 3x = 5x + -1(28 + -1x) + 4x 28 + 3x = 5x + (28 * -1 + -1x * -1) + 4x 28 + 3x = 5x + (-28 + 1x) + 4x Reorder the terms: 28 + 3x = -28 + 5x + 1x + 4x Combine like terms: 5x + 1x = 6x 28 + 3x = -28 + 6x + 4x Combine like terms: 6x + 4x = 10x 28 + 3x = -28 + 10x Solving 28 + 3x = -28 + 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. 28 + 3x + -10x = -28 + 10x + -10x Combine like terms: 3x + -10x = -7x 28 + -7x = -28 + 10x + -10x Combine like terms: 10x + -10x = 0 28 + -7x = -28 + 0 28 + -7x = -28 Add '-28' to each side of the equation. 28 + -28 + -7x = -28 + -28 Combine like terms: 28 + -28 = 0 0 + -7x = -28 + -28 -7x = -28 + -28 Combine like terms: -28 + -28 = -56 -7x = -56 Divide each side by '-7'. x = 8 Simplifying x = 8
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