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Simplifying 7(x + 8) + 3 = -10(x + -3) + -2 Reorder the terms: 7(8 + x) + 3 = -10(x + -3) + -2 (8 * 7 + x * 7) + 3 = -10(x + -3) + -2 (56 + 7x) + 3 = -10(x + -3) + -2 Reorder the terms: 56 + 3 + 7x = -10(x + -3) + -2 Combine like terms: 56 + 3 = 59 59 + 7x = -10(x + -3) + -2 Reorder the terms: 59 + 7x = -10(-3 + x) + -2 59 + 7x = (-3 * -10 + x * -10) + -2 59 + 7x = (30 + -10x) + -2 Reorder the terms: 59 + 7x = 30 + -2 + -10x Combine like terms: 30 + -2 = 28 59 + 7x = 28 + -10x Solving 59 + 7x = 28 + -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. 59 + 7x + 10x = 28 + -10x + 10x Combine like terms: 7x + 10x = 17x 59 + 17x = 28 + -10x + 10x Combine like terms: -10x + 10x = 0 59 + 17x = 28 + 0 59 + 17x = 28 Add '-59' to each side of the equation. 59 + -59 + 17x = 28 + -59 Combine like terms: 59 + -59 = 0 0 + 17x = 28 + -59 17x = 28 + -59 Combine like terms: 28 + -59 = -31 17x = -31 Divide each side by '17'. x = -1.823529412 Simplifying x = -1.823529412
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