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Simplifying -6(x + -7) + 4(4x + 2) = 9(x + 8) + -10 Reorder the terms: -6(-7 + x) + 4(4x + 2) = 9(x + 8) + -10 (-7 * -6 + x * -6) + 4(4x + 2) = 9(x + 8) + -10 (42 + -6x) + 4(4x + 2) = 9(x + 8) + -10 Reorder the terms: 42 + -6x + 4(2 + 4x) = 9(x + 8) + -10 42 + -6x + (2 * 4 + 4x * 4) = 9(x + 8) + -10 42 + -6x + (8 + 16x) = 9(x + 8) + -10 Reorder the terms: 42 + 8 + -6x + 16x = 9(x + 8) + -10 Combine like terms: 42 + 8 = 50 50 + -6x + 16x = 9(x + 8) + -10 Combine like terms: -6x + 16x = 10x 50 + 10x = 9(x + 8) + -10 Reorder the terms: 50 + 10x = 9(8 + x) + -10 50 + 10x = (8 * 9 + x * 9) + -10 50 + 10x = (72 + 9x) + -10 Reorder the terms: 50 + 10x = 72 + -10 + 9x Combine like terms: 72 + -10 = 62 50 + 10x = 62 + 9x Solving 50 + 10x = 62 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 50 + 10x + -9x = 62 + 9x + -9x Combine like terms: 10x + -9x = 1x 50 + 1x = 62 + 9x + -9x Combine like terms: 9x + -9x = 0 50 + 1x = 62 + 0 50 + 1x = 62 Add '-50' to each side of the equation. 50 + -50 + 1x = 62 + -50 Combine like terms: 50 + -50 = 0 0 + 1x = 62 + -50 1x = 62 + -50 Combine like terms: 62 + -50 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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