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Simplifying 8(2x + -6) = 5(3x + -7) Reorder the terms: 8(-6 + 2x) = 5(3x + -7) (-6 * 8 + 2x * 8) = 5(3x + -7) (-48 + 16x) = 5(3x + -7) Reorder the terms: -48 + 16x = 5(-7 + 3x) -48 + 16x = (-7 * 5 + 3x * 5) -48 + 16x = (-35 + 15x) Solving -48 + 16x = -35 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -48 + 16x + -15x = -35 + 15x + -15x Combine like terms: 16x + -15x = 1x -48 + 1x = -35 + 15x + -15x Combine like terms: 15x + -15x = 0 -48 + 1x = -35 + 0 -48 + 1x = -35 Add '48' to each side of the equation. -48 + 48 + 1x = -35 + 48 Combine like terms: -48 + 48 = 0 0 + 1x = -35 + 48 1x = -35 + 48 Combine like terms: -35 + 48 = 13 1x = 13 Divide each side by '1'. x = 13 Simplifying x = 13
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