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Simplifying -5(3x + 4) = 2(-1x + 3) Reorder the terms: -5(4 + 3x) = 2(-1x + 3) (4 * -5 + 3x * -5) = 2(-1x + 3) (-20 + -15x) = 2(-1x + 3) Reorder the terms: -20 + -15x = 2(3 + -1x) -20 + -15x = (3 * 2 + -1x * 2) -20 + -15x = (6 + -2x) Solving -20 + -15x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -20 + -15x + 2x = 6 + -2x + 2x Combine like terms: -15x + 2x = -13x -20 + -13x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 -20 + -13x = 6 + 0 -20 + -13x = 6 Add '20' to each side of the equation. -20 + 20 + -13x = 6 + 20 Combine like terms: -20 + 20 = 0 0 + -13x = 6 + 20 -13x = 6 + 20 Combine like terms: 6 + 20 = 26 -13x = 26 Divide each side by '-13'. x = -2 Simplifying x = -2
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