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