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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 = -5 -5 + -10 + 4x + 6x = -3(2x + -3) Combine like terms: -5 + -10 = -15 -15 + 4x + 6x = -3(2x + -3) Combine like terms: 4x + 6x = 10x -15 + 10x = -3(2x + -3) Reorder the terms: -15 + 10x = -3(-3 + 2x) -15 + 10x = (-3 * -3 + 2x * -3) -15 + 10x = (9 + -6x) Solving -15 + 10x = 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. -15 + 10x + 6x = 9 + -6x + 6x Combine like terms: 10x + 6x = 16x -15 + 16x = 9 + -6x + 6x Combine like terms: -6x + 6x = 0 -15 + 16x = 9 + 0 -15 + 16x = 9 Add '15' to each side of the equation. -15 + 15 + 16x = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 16x = 9 + 15 16x = 9 + 15 Combine like terms: 9 + 15 = 24 16x = 24 Divide each side by '16'. x = 1.5 Simplifying x = 1.5
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