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Simplifying 4(x + 2) + 10 = 3(x + -5) Reorder the terms: 4(2 + x) + 10 = 3(x + -5) (2 * 4 + x * 4) + 10 = 3(x + -5) (8 + 4x) + 10 = 3(x + -5) Reorder the terms: 8 + 10 + 4x = 3(x + -5) Combine like terms: 8 + 10 = 18 18 + 4x = 3(x + -5) Reorder the terms: 18 + 4x = 3(-5 + x) 18 + 4x = (-5 * 3 + x * 3) 18 + 4x = (-15 + 3x) Solving 18 + 4x = -15 + 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. 18 + 4x + -3x = -15 + 3x + -3x Combine like terms: 4x + -3x = 1x 18 + 1x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 18 + 1x = -15 + 0 18 + 1x = -15 Add '-18' to each side of the equation. 18 + -18 + 1x = -15 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = -15 + -18 1x = -15 + -18 Combine like terms: -15 + -18 = -33 1x = -33 Divide each side by '1'. x = -33 Simplifying x = -33
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