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Simplifying -6(3x + -8) = 7(-2x + -4) Reorder the terms: -6(-8 + 3x) = 7(-2x + -4) (-8 * -6 + 3x * -6) = 7(-2x + -4) (48 + -18x) = 7(-2x + -4) Reorder the terms: 48 + -18x = 7(-4 + -2x) 48 + -18x = (-4 * 7 + -2x * 7) 48 + -18x = (-28 + -14x) Solving 48 + -18x = -28 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 48 + -18x + 14x = -28 + -14x + 14x Combine like terms: -18x + 14x = -4x 48 + -4x = -28 + -14x + 14x Combine like terms: -14x + 14x = 0 48 + -4x = -28 + 0 48 + -4x = -28 Add '-48' to each side of the equation. 48 + -48 + -4x = -28 + -48 Combine like terms: 48 + -48 = 0 0 + -4x = -28 + -48 -4x = -28 + -48 Combine like terms: -28 + -48 = -76 -4x = -76 Divide each side by '-4'. x = 19 Simplifying x = 19
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