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Simplifying -4(x + -2) + 3(2x + 1) + -10 = -3(2x + -3) Reorder the terms: -4(-2 + x) + 3(2x + 1) + -10 = -3(2x + -3) (-2 * -4 + x * -4) + 3(2x + 1) + -10 = -3(2x + -3) (8 + -4x) + 3(2x + 1) + -10 = -3(2x + -3) Reorder the terms: 8 + -4x + 3(1 + 2x) + -10 = -3(2x + -3) 8 + -4x + (1 * 3 + 2x * 3) + -10 = -3(2x + -3) 8 + -4x + (3 + 6x) + -10 = -3(2x + -3) Reorder the terms: 8 + 3 + -10 + -4x + 6x = -3(2x + -3) Combine like terms: 8 + 3 = 11 11 + -10 + -4x + 6x = -3(2x + -3) Combine like terms: 11 + -10 = 1 1 + -4x + 6x = -3(2x + -3) Combine like terms: -4x + 6x = 2x 1 + 2x = -3(2x + -3) Reorder the terms: 1 + 2x = -3(-3 + 2x) 1 + 2x = (-3 * -3 + 2x * -3) 1 + 2x = (9 + -6x) Solving 1 + 2x = 9 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 1 + 2x + 6x = 9 + -6x + 6x Combine like terms: 2x + 6x = 8x 1 + 8x = 9 + -6x + 6x Combine like terms: -6x + 6x = 0 1 + 8x = 9 + 0 1 + 8x = 9 Add '-1' to each side of the equation. 1 + -1 + 8x = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = 9 + -1 8x = 9 + -1 Combine like terms: 9 + -1 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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