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Simplifying 7(-1x + 3) + -3(5x + -3) = -2x + 12 + 7 Reorder the terms: 7(3 + -1x) + -3(5x + -3) = -2x + 12 + 7 (3 * 7 + -1x * 7) + -3(5x + -3) = -2x + 12 + 7 (21 + -7x) + -3(5x + -3) = -2x + 12 + 7 Reorder the terms: 21 + -7x + -3(-3 + 5x) = -2x + 12 + 7 21 + -7x + (-3 * -3 + 5x * -3) = -2x + 12 + 7 21 + -7x + (9 + -15x) = -2x + 12 + 7 Reorder the terms: 21 + 9 + -7x + -15x = -2x + 12 + 7 Combine like terms: 21 + 9 = 30 30 + -7x + -15x = -2x + 12 + 7 Combine like terms: -7x + -15x = -22x 30 + -22x = -2x + 12 + 7 Reorder the terms: 30 + -22x = 12 + 7 + -2x Combine like terms: 12 + 7 = 19 30 + -22x = 19 + -2x Solving 30 + -22x = 19 + -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. 30 + -22x + 2x = 19 + -2x + 2x Combine like terms: -22x + 2x = -20x 30 + -20x = 19 + -2x + 2x Combine like terms: -2x + 2x = 0 30 + -20x = 19 + 0 30 + -20x = 19 Add '-30' to each side of the equation. 30 + -30 + -20x = 19 + -30 Combine like terms: 30 + -30 = 0 0 + -20x = 19 + -30 -20x = 19 + -30 Combine like terms: 19 + -30 = -11 -20x = -11 Divide each side by '-20'. x = 0.55 Simplifying x = 0.55
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