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Simplifying 5(x + 7) + -2(x + -9) = 6x + 2(8 + -4x) Reorder the terms: 5(7 + x) + -2(x + -9) = 6x + 2(8 + -4x) (7 * 5 + x * 5) + -2(x + -9) = 6x + 2(8 + -4x) (35 + 5x) + -2(x + -9) = 6x + 2(8 + -4x) Reorder the terms: 35 + 5x + -2(-9 + x) = 6x + 2(8 + -4x) 35 + 5x + (-9 * -2 + x * -2) = 6x + 2(8 + -4x) 35 + 5x + (18 + -2x) = 6x + 2(8 + -4x) Reorder the terms: 35 + 18 + 5x + -2x = 6x + 2(8 + -4x) Combine like terms: 35 + 18 = 53 53 + 5x + -2x = 6x + 2(8 + -4x) Combine like terms: 5x + -2x = 3x 53 + 3x = 6x + 2(8 + -4x) 53 + 3x = 6x + (8 * 2 + -4x * 2) 53 + 3x = 6x + (16 + -8x) Reorder the terms: 53 + 3x = 16 + 6x + -8x Combine like terms: 6x + -8x = -2x 53 + 3x = 16 + -2x Solving 53 + 3x = 16 + -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. 53 + 3x + 2x = 16 + -2x + 2x Combine like terms: 3x + 2x = 5x 53 + 5x = 16 + -2x + 2x Combine like terms: -2x + 2x = 0 53 + 5x = 16 + 0 53 + 5x = 16 Add '-53' to each side of the equation. 53 + -53 + 5x = 16 + -53 Combine like terms: 53 + -53 = 0 0 + 5x = 16 + -53 5x = 16 + -53 Combine like terms: 16 + -53 = -37 5x = -37 Divide each side by '5'. x = -7.4 Simplifying x = -7.4
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