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Simplifying x + 7 = 4(5x + -6) Reorder the terms: 7 + x = 4(5x + -6) Reorder the terms: 7 + x = 4(-6 + 5x) 7 + x = (-6 * 4 + 5x * 4) 7 + x = (-24 + 20x) Solving 7 + x = -24 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 7 + x + -20x = -24 + 20x + -20x Combine like terms: x + -20x = -19x 7 + -19x = -24 + 20x + -20x Combine like terms: 20x + -20x = 0 7 + -19x = -24 + 0 7 + -19x = -24 Add '-7' to each side of the equation. 7 + -7 + -19x = -24 + -7 Combine like terms: 7 + -7 = 0 0 + -19x = -24 + -7 -19x = -24 + -7 Combine like terms: -24 + -7 = -31 -19x = -31 Divide each side by '-19'. x = 1.631578947 Simplifying x = 1.631578947
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