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Simplifying 5(x + 2) + -3x = 4x + -5 Reorder the terms: 5(2 + x) + -3x = 4x + -5 (2 * 5 + x * 5) + -3x = 4x + -5 (10 + 5x) + -3x = 4x + -5 Combine like terms: 5x + -3x = 2x 10 + 2x = 4x + -5 Reorder the terms: 10 + 2x = -5 + 4x Solving 10 + 2x = -5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 10 + 2x + -4x = -5 + 4x + -4x Combine like terms: 2x + -4x = -2x 10 + -2x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + -2x = -5 + 0 10 + -2x = -5 Add '-10' to each side of the equation. 10 + -10 + -2x = -5 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = -5 + -10 -2x = -5 + -10 Combine like terms: -5 + -10 = -15 -2x = -15 Divide each side by '-2'. x = 7.5 Simplifying x = 7.5
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