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Simplifying 3(1x + -5) = 8(2x + -6) Reorder the terms: 3(-5 + 1x) = 8(2x + -6) (-5 * 3 + 1x * 3) = 8(2x + -6) (-15 + 3x) = 8(2x + -6) Reorder the terms: -15 + 3x = 8(-6 + 2x) -15 + 3x = (-6 * 8 + 2x * 8) -15 + 3x = (-48 + 16x) Solving -15 + 3x = -48 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -15 + 3x + -16x = -48 + 16x + -16x Combine like terms: 3x + -16x = -13x -15 + -13x = -48 + 16x + -16x Combine like terms: 16x + -16x = 0 -15 + -13x = -48 + 0 -15 + -13x = -48 Add '15' to each side of the equation. -15 + 15 + -13x = -48 + 15 Combine like terms: -15 + 15 = 0 0 + -13x = -48 + 15 -13x = -48 + 15 Combine like terms: -48 + 15 = -33 -13x = -33 Divide each side by '-13'. x = 2.538461538 Simplifying x = 2.538461538
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