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Simplifying 4(3 + -1x) + -14(1x + -2) = 30 + -8x (3 * 4 + -1x * 4) + -14(1x + -2) = 30 + -8x (12 + -4x) + -14(1x + -2) = 30 + -8x Reorder the terms: 12 + -4x + -14(-2 + 1x) = 30 + -8x 12 + -4x + (-2 * -14 + 1x * -14) = 30 + -8x 12 + -4x + (28 + -14x) = 30 + -8x Reorder the terms: 12 + 28 + -4x + -14x = 30 + -8x Combine like terms: 12 + 28 = 40 40 + -4x + -14x = 30 + -8x Combine like terms: -4x + -14x = -18x 40 + -18x = 30 + -8x Solving 40 + -18x = 30 + -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. 40 + -18x + 8x = 30 + -8x + 8x Combine like terms: -18x + 8x = -10x 40 + -10x = 30 + -8x + 8x Combine like terms: -8x + 8x = 0 40 + -10x = 30 + 0 40 + -10x = 30 Add '-40' to each side of the equation. 40 + -40 + -10x = 30 + -40 Combine like terms: 40 + -40 = 0 0 + -10x = 30 + -40 -10x = 30 + -40 Combine like terms: 30 + -40 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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