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Simplifying 10(2x + -5) + -3 = 10(x + -4) + 7 Reorder the terms: 10(-5 + 2x) + -3 = 10(x + -4) + 7 (-5 * 10 + 2x * 10) + -3 = 10(x + -4) + 7 (-50 + 20x) + -3 = 10(x + -4) + 7 Reorder the terms: -50 + -3 + 20x = 10(x + -4) + 7 Combine like terms: -50 + -3 = -53 -53 + 20x = 10(x + -4) + 7 Reorder the terms: -53 + 20x = 10(-4 + x) + 7 -53 + 20x = (-4 * 10 + x * 10) + 7 -53 + 20x = (-40 + 10x) + 7 Reorder the terms: -53 + 20x = -40 + 7 + 10x Combine like terms: -40 + 7 = -33 -53 + 20x = -33 + 10x Solving -53 + 20x = -33 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -53 + 20x + -10x = -33 + 10x + -10x Combine like terms: 20x + -10x = 10x -53 + 10x = -33 + 10x + -10x Combine like terms: 10x + -10x = 0 -53 + 10x = -33 + 0 -53 + 10x = -33 Add '53' to each side of the equation. -53 + 53 + 10x = -33 + 53 Combine like terms: -53 + 53 = 0 0 + 10x = -33 + 53 10x = -33 + 53 Combine like terms: -33 + 53 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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