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Simplifying 10x + -4(x + -1) = 12x + 7(x + 1) Reorder the terms: 10x + -4(-1 + x) = 12x + 7(x + 1) 10x + (-1 * -4 + x * -4) = 12x + 7(x + 1) 10x + (4 + -4x) = 12x + 7(x + 1) Reorder the terms: 4 + 10x + -4x = 12x + 7(x + 1) Combine like terms: 10x + -4x = 6x 4 + 6x = 12x + 7(x + 1) Reorder the terms: 4 + 6x = 12x + 7(1 + x) 4 + 6x = 12x + (1 * 7 + x * 7) 4 + 6x = 12x + (7 + 7x) Reorder the terms: 4 + 6x = 7 + 12x + 7x Combine like terms: 12x + 7x = 19x 4 + 6x = 7 + 19x Solving 4 + 6x = 7 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 4 + 6x + -19x = 7 + 19x + -19x Combine like terms: 6x + -19x = -13x 4 + -13x = 7 + 19x + -19x Combine like terms: 19x + -19x = 0 4 + -13x = 7 + 0 4 + -13x = 7 Add '-4' to each side of the equation. 4 + -4 + -13x = 7 + -4 Combine like terms: 4 + -4 = 0 0 + -13x = 7 + -4 -13x = 7 + -4 Combine like terms: 7 + -4 = 3 -13x = 3 Divide each side by '-13'. x = -0.2307692308 Simplifying x = -0.2307692308
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