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Simplifying 3 + -4x + -3 = -10x + 7 + 2x + 5(1 + -1x) Reorder the terms: 3 + -3 + -4x = -10x + 7 + 2x + 5(1 + -1x) Combine like terms: 3 + -3 = 0 0 + -4x = -10x + 7 + 2x + 5(1 + -1x) -4x = -10x + 7 + 2x + 5(1 + -1x) -4x = -10x + 7 + 2x + (1 * 5 + -1x * 5) -4x = -10x + 7 + 2x + (5 + -5x) Reorder the terms: -4x = 7 + 5 + -10x + 2x + -5x Combine like terms: 7 + 5 = 12 -4x = 12 + -10x + 2x + -5x Combine like terms: -10x + 2x = -8x -4x = 12 + -8x + -5x Combine like terms: -8x + -5x = -13x -4x = 12 + -13x Solving -4x = 12 + -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. -4x + 13x = 12 + -13x + 13x Combine like terms: -4x + 13x = 9x 9x = 12 + -13x + 13x Combine like terms: -13x + 13x = 0 9x = 12 + 0 9x = 12 Divide each side by '9'. x = 1.333333333 Simplifying x = 1.333333333
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