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Simplifying 8(x + -42) + -2(x + 7) = 63 + -1(x + -35) Reorder the terms: 8(-42 + x) + -2(x + 7) = 63 + -1(x + -35) (-42 * 8 + x * 8) + -2(x + 7) = 63 + -1(x + -35) (-336 + 8x) + -2(x + 7) = 63 + -1(x + -35) Reorder the terms: -336 + 8x + -2(7 + x) = 63 + -1(x + -35) -336 + 8x + (7 * -2 + x * -2) = 63 + -1(x + -35) -336 + 8x + (-14 + -2x) = 63 + -1(x + -35) Reorder the terms: -336 + -14 + 8x + -2x = 63 + -1(x + -35) Combine like terms: -336 + -14 = -350 -350 + 8x + -2x = 63 + -1(x + -35) Combine like terms: 8x + -2x = 6x -350 + 6x = 63 + -1(x + -35) Reorder the terms: -350 + 6x = 63 + -1(-35 + x) -350 + 6x = 63 + (-35 * -1 + x * -1) -350 + 6x = 63 + (35 + -1x) Combine like terms: 63 + 35 = 98 -350 + 6x = 98 + -1x Solving -350 + 6x = 98 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -350 + 6x + x = 98 + -1x + x Combine like terms: 6x + x = 7x -350 + 7x = 98 + -1x + x Combine like terms: -1x + x = 0 -350 + 7x = 98 + 0 -350 + 7x = 98 Add '350' to each side of the equation. -350 + 350 + 7x = 98 + 350 Combine like terms: -350 + 350 = 0 0 + 7x = 98 + 350 7x = 98 + 350 Combine like terms: 98 + 350 = 448 7x = 448 Divide each side by '7'. x = 64 Simplifying x = 64
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