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Simplifying 3(2x + -4) + 1 = 5(x + -3) Reorder the terms: 3(-4 + 2x) + 1 = 5(x + -3) (-4 * 3 + 2x * 3) + 1 = 5(x + -3) (-12 + 6x) + 1 = 5(x + -3) Reorder the terms: -12 + 1 + 6x = 5(x + -3) Combine like terms: -12 + 1 = -11 -11 + 6x = 5(x + -3) Reorder the terms: -11 + 6x = 5(-3 + x) -11 + 6x = (-3 * 5 + x * 5) -11 + 6x = (-15 + 5x) Solving -11 + 6x = -15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -11 + 6x + -5x = -15 + 5x + -5x Combine like terms: 6x + -5x = 1x -11 + 1x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 -11 + 1x = -15 + 0 -11 + 1x = -15 Add '11' to each side of the equation. -11 + 11 + 1x = -15 + 11 Combine like terms: -11 + 11 = 0 0 + 1x = -15 + 11 1x = -15 + 11 Combine like terms: -15 + 11 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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