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Simplifying 15(5x + 5) + 10(x + -23) = (4x + -5) * 18 Reorder the terms: 15(5 + 5x) + 10(x + -23) = (4x + -5) * 18 (5 * 15 + 5x * 15) + 10(x + -23) = (4x + -5) * 18 (75 + 75x) + 10(x + -23) = (4x + -5) * 18 Reorder the terms: 75 + 75x + 10(-23 + x) = (4x + -5) * 18 75 + 75x + (-23 * 10 + x * 10) = (4x + -5) * 18 75 + 75x + (-230 + 10x) = (4x + -5) * 18 Reorder the terms: 75 + -230 + 75x + 10x = (4x + -5) * 18 Combine like terms: 75 + -230 = -155 -155 + 75x + 10x = (4x + -5) * 18 Combine like terms: 75x + 10x = 85x -155 + 85x = (4x + -5) * 18 Reorder the terms: -155 + 85x = (-5 + 4x) * 18 Reorder the terms for easier multiplication: -155 + 85x = 18(-5 + 4x) -155 + 85x = (-5 * 18 + 4x * 18) -155 + 85x = (-90 + 72x) Solving -155 + 85x = -90 + 72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72x' to each side of the equation. -155 + 85x + -72x = -90 + 72x + -72x Combine like terms: 85x + -72x = 13x -155 + 13x = -90 + 72x + -72x Combine like terms: 72x + -72x = 0 -155 + 13x = -90 + 0 -155 + 13x = -90 Add '155' to each side of the equation. -155 + 155 + 13x = -90 + 155 Combine like terms: -155 + 155 = 0 0 + 13x = -90 + 155 13x = -90 + 155 Combine like terms: -90 + 155 = 65 13x = 65 Divide each side by '13'. x = 5 Simplifying x = 5
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