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Simplifying 4x + -8x + 12 = 5(2x + -4) + 1 Reorder the terms: 12 + 4x + -8x = 5(2x + -4) + 1 Combine like terms: 4x + -8x = -4x 12 + -4x = 5(2x + -4) + 1 Reorder the terms: 12 + -4x = 5(-4 + 2x) + 1 12 + -4x = (-4 * 5 + 2x * 5) + 1 12 + -4x = (-20 + 10x) + 1 Reorder the terms: 12 + -4x = -20 + 1 + 10x Combine like terms: -20 + 1 = -19 12 + -4x = -19 + 10x Solving 12 + -4x = -19 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 12 + -4x + -10x = -19 + 10x + -10x Combine like terms: -4x + -10x = -14x 12 + -14x = -19 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -14x = -19 + 0 12 + -14x = -19 Add '-12' to each side of the equation. 12 + -12 + -14x = -19 + -12 Combine like terms: 12 + -12 = 0 0 + -14x = -19 + -12 -14x = -19 + -12 Combine like terms: -19 + -12 = -31 -14x = -31 Divide each side by '-14'. x = 2.214285714 Simplifying x = 2.214285714
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