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Simplifying 10x + (4 + -1x) = 7x + 2(3x + 5) Remove parenthesis around (4 + -1x) 10x + 4 + -1x = 7x + 2(3x + 5) Reorder the terms: 4 + 10x + -1x = 7x + 2(3x + 5) Combine like terms: 10x + -1x = 9x 4 + 9x = 7x + 2(3x + 5) Reorder the terms: 4 + 9x = 7x + 2(5 + 3x) 4 + 9x = 7x + (5 * 2 + 3x * 2) 4 + 9x = 7x + (10 + 6x) Reorder the terms: 4 + 9x = 10 + 7x + 6x Combine like terms: 7x + 6x = 13x 4 + 9x = 10 + 13x Solving 4 + 9x = 10 + 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. 4 + 9x + -13x = 10 + 13x + -13x Combine like terms: 9x + -13x = -4x 4 + -4x = 10 + 13x + -13x Combine like terms: 13x + -13x = 0 4 + -4x = 10 + 0 4 + -4x = 10 Add '-4' to each side of the equation. 4 + -4 + -4x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = 10 + -4 -4x = 10 + -4 Combine like terms: 10 + -4 = 6 -4x = 6 Divide each side by '-4'. x = -1.5 Simplifying x = -1.5
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