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Simplifying (x + -5) * 10 + (1 + -2x) * 5 = (3 + -1x) * 4 Reorder the terms: (-5 + x) * 10 + (1 + -2x) * 5 = (3 + -1x) * 4 Reorder the terms for easier multiplication: 10(-5 + x) + (1 + -2x) * 5 = (3 + -1x) * 4 (-5 * 10 + x * 10) + (1 + -2x) * 5 = (3 + -1x) * 4 (-50 + 10x) + (1 + -2x) * 5 = (3 + -1x) * 4 Reorder the terms for easier multiplication: -50 + 10x + 5(1 + -2x) = (3 + -1x) * 4 -50 + 10x + (1 * 5 + -2x * 5) = (3 + -1x) * 4 -50 + 10x + (5 + -10x) = (3 + -1x) * 4 Reorder the terms: -50 + 5 + 10x + -10x = (3 + -1x) * 4 Combine like terms: -50 + 5 = -45 -45 + 10x + -10x = (3 + -1x) * 4 Combine like terms: 10x + -10x = 0 -45 + 0 = (3 + -1x) * 4 -45 = (3 + -1x) * 4 Reorder the terms for easier multiplication: -45 = 4(3 + -1x) -45 = (3 * 4 + -1x * 4) -45 = (12 + -4x) Solving -45 = 12 + -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. -45 + 4x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 -45 + 4x = 12 + 0 -45 + 4x = 12 Add '45' to each side of the equation. -45 + 45 + 4x = 12 + 45 Combine like terms: -45 + 45 = 0 0 + 4x = 12 + 45 4x = 12 + 45 Combine like terms: 12 + 45 = 57 4x = 57 Divide each side by '4'. x = 14.25 Simplifying x = 14.25
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