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Simplifying 4(170 + -3x) = x + (170 + -3x) + 10 (170 * 4 + -3x * 4) = x + (170 + -3x) + 10 (680 + -12x) = x + (170 + -3x) + 10 Remove parenthesis around (170 + -3x) 680 + -12x = x + 170 + -3x + 10 Reorder the terms: 680 + -12x = 170 + 10 + x + -3x Combine like terms: 170 + 10 = 180 680 + -12x = 180 + x + -3x Combine like terms: x + -3x = -2x 680 + -12x = 180 + -2x Solving 680 + -12x = 180 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 680 + -12x + 2x = 180 + -2x + 2x Combine like terms: -12x + 2x = -10x 680 + -10x = 180 + -2x + 2x Combine like terms: -2x + 2x = 0 680 + -10x = 180 + 0 680 + -10x = 180 Add '-680' to each side of the equation. 680 + -680 + -10x = 180 + -680 Combine like terms: 680 + -680 = 0 0 + -10x = 180 + -680 -10x = 180 + -680 Combine like terms: 180 + -680 = -500 -10x = -500 Divide each side by '-10'. x = 50 Simplifying x = 50
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