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Simplifying 5(1 + -1x) = 4(1 + 2x) * 7 (1 * 5 + -1x * 5) = 4(1 + 2x) * 7 (5 + -5x) = 4(1 + 2x) * 7 Reorder the terms for easier multiplication: 5 + -5x = 4 * 7(1 + 2x) Multiply 4 * 7 5 + -5x = 28(1 + 2x) 5 + -5x = (1 * 28 + 2x * 28) 5 + -5x = (28 + 56x) Solving 5 + -5x = 28 + 56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56x' to each side of the equation. 5 + -5x + -56x = 28 + 56x + -56x Combine like terms: -5x + -56x = -61x 5 + -61x = 28 + 56x + -56x Combine like terms: 56x + -56x = 0 5 + -61x = 28 + 0 5 + -61x = 28 Add '-5' to each side of the equation. 5 + -5 + -61x = 28 + -5 Combine like terms: 5 + -5 = 0 0 + -61x = 28 + -5 -61x = 28 + -5 Combine like terms: 28 + -5 = 23 -61x = 23 Divide each side by '-61'. x = -0.3770491803 Simplifying x = -0.3770491803
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