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Simplifying 5 = 4(x + -2) + 3(x + -5) Reorder the terms: 5 = 4(-2 + x) + 3(x + -5) 5 = (-2 * 4 + x * 4) + 3(x + -5) 5 = (-8 + 4x) + 3(x + -5) Reorder the terms: 5 = -8 + 4x + 3(-5 + x) 5 = -8 + 4x + (-5 * 3 + x * 3) 5 = -8 + 4x + (-15 + 3x) Reorder the terms: 5 = -8 + -15 + 4x + 3x Combine like terms: -8 + -15 = -23 5 = -23 + 4x + 3x Combine like terms: 4x + 3x = 7x 5 = -23 + 7x Solving 5 = -23 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 5 + -7x = -23 + 7x + -7x Combine like terms: 7x + -7x = 0 5 + -7x = -23 + 0 5 + -7x = -23 Add '-5' to each side of the equation. 5 + -5 + -7x = -23 + -5 Combine like terms: 5 + -5 = 0 0 + -7x = -23 + -5 -7x = -23 + -5 Combine like terms: -23 + -5 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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