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Simplifying 5(x + 7) + -2(x + -9) = 6x + 2(8 + -4) Reorder the terms: 5(7 + x) + -2(x + -9) = 6x + 2(8 + -4) (7 * 5 + x * 5) + -2(x + -9) = 6x + 2(8 + -4) (35 + 5x) + -2(x + -9) = 6x + 2(8 + -4) Reorder the terms: 35 + 5x + -2(-9 + x) = 6x + 2(8 + -4) 35 + 5x + (-9 * -2 + x * -2) = 6x + 2(8 + -4) 35 + 5x + (18 + -2x) = 6x + 2(8 + -4) Reorder the terms: 35 + 18 + 5x + -2x = 6x + 2(8 + -4) Combine like terms: 35 + 18 = 53 53 + 5x + -2x = 6x + 2(8 + -4) Combine like terms: 5x + -2x = 3x 53 + 3x = 6x + 2(8 + -4) Combine like terms: 8 + -4 = 4 53 + 3x = 6x + 2(4) Multiply 2 * 4 53 + 3x = 6x + 8 Reorder the terms: 53 + 3x = 8 + 6x Solving 53 + 3x = 8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 53 + 3x + -6x = 8 + 6x + -6x Combine like terms: 3x + -6x = -3x 53 + -3x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 53 + -3x = 8 + 0 53 + -3x = 8 Add '-53' to each side of the equation. 53 + -53 + -3x = 8 + -53 Combine like terms: 53 + -53 = 0 0 + -3x = 8 + -53 -3x = 8 + -53 Combine like terms: 8 + -53 = -45 -3x = -45 Divide each side by '-3'. x = 15 Simplifying x = 15
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