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Simplifying 5(x + 3) + -4(x + -2) = 3x + 7 Reorder the terms: 5(3 + x) + -4(x + -2) = 3x + 7 (3 * 5 + x * 5) + -4(x + -2) = 3x + 7 (15 + 5x) + -4(x + -2) = 3x + 7 Reorder the terms: 15 + 5x + -4(-2 + x) = 3x + 7 15 + 5x + (-2 * -4 + x * -4) = 3x + 7 15 + 5x + (8 + -4x) = 3x + 7 Reorder the terms: 15 + 8 + 5x + -4x = 3x + 7 Combine like terms: 15 + 8 = 23 23 + 5x + -4x = 3x + 7 Combine like terms: 5x + -4x = 1x 23 + 1x = 3x + 7 Reorder the terms: 23 + 1x = 7 + 3x Solving 23 + 1x = 7 + 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. 23 + 1x + -3x = 7 + 3x + -3x Combine like terms: 1x + -3x = -2x 23 + -2x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 23 + -2x = 7 + 0 23 + -2x = 7 Add '-23' to each side of the equation. 23 + -23 + -2x = 7 + -23 Combine like terms: 23 + -23 = 0 0 + -2x = 7 + -23 -2x = 7 + -23 Combine like terms: 7 + -23 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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