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Simplifying 4(x + -2) + 10 = 3(x + 3) Reorder the terms: 4(-2 + x) + 10 = 3(x + 3) (-2 * 4 + x * 4) + 10 = 3(x + 3) (-8 + 4x) + 10 = 3(x + 3) Reorder the terms: -8 + 10 + 4x = 3(x + 3) Combine like terms: -8 + 10 = 2 2 + 4x = 3(x + 3) Reorder the terms: 2 + 4x = 3(3 + x) 2 + 4x = (3 * 3 + x * 3) 2 + 4x = (9 + 3x) Solving 2 + 4x = 9 + 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. 2 + 4x + -3x = 9 + 3x + -3x Combine like terms: 4x + -3x = 1x 2 + 1x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + 1x = 9 + 0 2 + 1x = 9 Add '-2' to each side of the equation. 2 + -2 + 1x = 9 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 9 + -2 1x = 9 + -2 Combine like terms: 9 + -2 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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