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Simplifying 6(x + -8) + -4x = 4(x + -2) + -2 Reorder the terms: 6(-8 + x) + -4x = 4(x + -2) + -2 (-8 * 6 + x * 6) + -4x = 4(x + -2) + -2 (-48 + 6x) + -4x = 4(x + -2) + -2 Combine like terms: 6x + -4x = 2x -48 + 2x = 4(x + -2) + -2 Reorder the terms: -48 + 2x = 4(-2 + x) + -2 -48 + 2x = (-2 * 4 + x * 4) + -2 -48 + 2x = (-8 + 4x) + -2 Reorder the terms: -48 + 2x = -8 + -2 + 4x Combine like terms: -8 + -2 = -10 -48 + 2x = -10 + 4x Solving -48 + 2x = -10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -48 + 2x + -4x = -10 + 4x + -4x Combine like terms: 2x + -4x = -2x -48 + -2x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 -48 + -2x = -10 + 0 -48 + -2x = -10 Add '48' to each side of the equation. -48 + 48 + -2x = -10 + 48 Combine like terms: -48 + 48 = 0 0 + -2x = -10 + 48 -2x = -10 + 48 Combine like terms: -10 + 48 = 38 -2x = 38 Divide each side by '-2'. x = -19 Simplifying x = -19
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