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Simplifying 2(14 + -1x) = 4(2x + -3) (14 * 2 + -1x * 2) = 4(2x + -3) (28 + -2x) = 4(2x + -3) Reorder the terms: 28 + -2x = 4(-3 + 2x) 28 + -2x = (-3 * 4 + 2x * 4) 28 + -2x = (-12 + 8x) Solving 28 + -2x = -12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 28 + -2x + -8x = -12 + 8x + -8x Combine like terms: -2x + -8x = -10x 28 + -10x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 28 + -10x = -12 + 0 28 + -10x = -12 Add '-28' to each side of the equation. 28 + -28 + -10x = -12 + -28 Combine like terms: 28 + -28 = 0 0 + -10x = -12 + -28 -10x = -12 + -28 Combine like terms: -12 + -28 = -40 -10x = -40 Divide each side by '-10'. x = 4 Simplifying x = 4
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