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Simplifying 4 + 10(x + 1) + -4x + 2x = 11x + 13 + -2(1 + -1x) Reorder the terms: 4 + 10(1 + x) + -4x + 2x = 11x + 13 + -2(1 + -1x) 4 + (1 * 10 + x * 10) + -4x + 2x = 11x + 13 + -2(1 + -1x) 4 + (10 + 10x) + -4x + 2x = 11x + 13 + -2(1 + -1x) Combine like terms: 4 + 10 = 14 14 + 10x + -4x + 2x = 11x + 13 + -2(1 + -1x) Combine like terms: 10x + -4x = 6x 14 + 6x + 2x = 11x + 13 + -2(1 + -1x) Combine like terms: 6x + 2x = 8x 14 + 8x = 11x + 13 + -2(1 + -1x) 14 + 8x = 11x + 13 + (1 * -2 + -1x * -2) 14 + 8x = 11x + 13 + (-2 + 2x) Reorder the terms: 14 + 8x = 13 + -2 + 11x + 2x Combine like terms: 13 + -2 = 11 14 + 8x = 11 + 11x + 2x Combine like terms: 11x + 2x = 13x 14 + 8x = 11 + 13x Solving 14 + 8x = 11 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 14 + 8x + -13x = 11 + 13x + -13x Combine like terms: 8x + -13x = -5x 14 + -5x = 11 + 13x + -13x Combine like terms: 13x + -13x = 0 14 + -5x = 11 + 0 14 + -5x = 11 Add '-14' to each side of the equation. 14 + -14 + -5x = 11 + -14 Combine like terms: 14 + -14 = 0 0 + -5x = 11 + -14 -5x = 11 + -14 Combine like terms: 11 + -14 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6
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