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Simplifying 4(x + 2) + -3(2x + -5) = x + 2 Reorder the terms: 4(2 + x) + -3(2x + -5) = x + 2 (2 * 4 + x * 4) + -3(2x + -5) = x + 2 (8 + 4x) + -3(2x + -5) = x + 2 Reorder the terms: 8 + 4x + -3(-5 + 2x) = x + 2 8 + 4x + (-5 * -3 + 2x * -3) = x + 2 8 + 4x + (15 + -6x) = x + 2 Reorder the terms: 8 + 15 + 4x + -6x = x + 2 Combine like terms: 8 + 15 = 23 23 + 4x + -6x = x + 2 Combine like terms: 4x + -6x = -2x 23 + -2x = x + 2 Reorder the terms: 23 + -2x = 2 + x Solving 23 + -2x = 2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 23 + -2x + -1x = 2 + x + -1x Combine like terms: -2x + -1x = -3x 23 + -3x = 2 + x + -1x Combine like terms: x + -1x = 0 23 + -3x = 2 + 0 23 + -3x = 2 Add '-23' to each side of the equation. 23 + -23 + -3x = 2 + -23 Combine like terms: 23 + -23 = 0 0 + -3x = 2 + -23 -3x = 2 + -23 Combine like terms: 2 + -23 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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