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Simplifying -3x + -7 = 4(5 + 6x) Reorder the terms: -7 + -3x = 4(5 + 6x) -7 + -3x = (5 * 4 + 6x * 4) -7 + -3x = (20 + 24x) Solving -7 + -3x = 20 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -7 + -3x + -24x = 20 + 24x + -24x Combine like terms: -3x + -24x = -27x -7 + -27x = 20 + 24x + -24x Combine like terms: 24x + -24x = 0 -7 + -27x = 20 + 0 -7 + -27x = 20 Add '7' to each side of the equation. -7 + 7 + -27x = 20 + 7 Combine like terms: -7 + 7 = 0 0 + -27x = 20 + 7 -27x = 20 + 7 Combine like terms: 20 + 7 = 27 -27x = 27 Divide each side by '-27'. x = -1 Simplifying x = -1
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