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Simplifying 4(2x + -1) + -3(x + -2) = 10x + -3 Reorder the terms: 4(-1 + 2x) + -3(x + -2) = 10x + -3 (-1 * 4 + 2x * 4) + -3(x + -2) = 10x + -3 (-4 + 8x) + -3(x + -2) = 10x + -3 Reorder the terms: -4 + 8x + -3(-2 + x) = 10x + -3 -4 + 8x + (-2 * -3 + x * -3) = 10x + -3 -4 + 8x + (6 + -3x) = 10x + -3 Reorder the terms: -4 + 6 + 8x + -3x = 10x + -3 Combine like terms: -4 + 6 = 2 2 + 8x + -3x = 10x + -3 Combine like terms: 8x + -3x = 5x 2 + 5x = 10x + -3 Reorder the terms: 2 + 5x = -3 + 10x Solving 2 + 5x = -3 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 2 + 5x + -10x = -3 + 10x + -10x Combine like terms: 5x + -10x = -5x 2 + -5x = -3 + 10x + -10x Combine like terms: 10x + -10x = 0 2 + -5x = -3 + 0 2 + -5x = -3 Add '-2' to each side of the equation. 2 + -2 + -5x = -3 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = -3 + -2 -5x = -3 + -2 Combine like terms: -3 + -2 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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