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Simplifying 3(5 + -1x) = 7(x + -3) (5 * 3 + -1x * 3) = 7(x + -3) (15 + -3x) = 7(x + -3) Reorder the terms: 15 + -3x = 7(-3 + x) 15 + -3x = (-3 * 7 + x * 7) 15 + -3x = (-21 + 7x) Solving 15 + -3x = -21 + 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. 15 + -3x + -7x = -21 + 7x + -7x Combine like terms: -3x + -7x = -10x 15 + -10x = -21 + 7x + -7x Combine like terms: 7x + -7x = 0 15 + -10x = -21 + 0 15 + -10x = -21 Add '-15' to each side of the equation. 15 + -15 + -10x = -21 + -15 Combine like terms: 15 + -15 = 0 0 + -10x = -21 + -15 -10x = -21 + -15 Combine like terms: -21 + -15 = -36 -10x = -36 Divide each side by '-10'. x = 3.6 Simplifying x = 3.6
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