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Simplifying -2 + 8(x + -2) = -6(8x + -7) + -4 Reorder the terms: -2 + 8(-2 + x) = -6(8x + -7) + -4 -2 + (-2 * 8 + x * 8) = -6(8x + -7) + -4 -2 + (-16 + 8x) = -6(8x + -7) + -4 Combine like terms: -2 + -16 = -18 -18 + 8x = -6(8x + -7) + -4 Reorder the terms: -18 + 8x = -6(-7 + 8x) + -4 -18 + 8x = (-7 * -6 + 8x * -6) + -4 -18 + 8x = (42 + -48x) + -4 Reorder the terms: -18 + 8x = 42 + -4 + -48x Combine like terms: 42 + -4 = 38 -18 + 8x = 38 + -48x Solving -18 + 8x = 38 + -48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48x' to each side of the equation. -18 + 8x + 48x = 38 + -48x + 48x Combine like terms: 8x + 48x = 56x -18 + 56x = 38 + -48x + 48x Combine like terms: -48x + 48x = 0 -18 + 56x = 38 + 0 -18 + 56x = 38 Add '18' to each side of the equation. -18 + 18 + 56x = 38 + 18 Combine like terms: -18 + 18 = 0 0 + 56x = 38 + 18 56x = 38 + 18 Combine like terms: 38 + 18 = 56 56x = 56 Divide each side by '56'. x = 1 Simplifying x = 1
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