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Simplifying 4x + -7 = 2(5x + 1) Reorder the terms: -7 + 4x = 2(5x + 1) Reorder the terms: -7 + 4x = 2(1 + 5x) -7 + 4x = (1 * 2 + 5x * 2) -7 + 4x = (2 + 10x) Solving -7 + 4x = 2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -7 + 4x + -10x = 2 + 10x + -10x Combine like terms: 4x + -10x = -6x -7 + -6x = 2 + 10x + -10x Combine like terms: 10x + -10x = 0 -7 + -6x = 2 + 0 -7 + -6x = 2 Add '7' to each side of the equation. -7 + 7 + -6x = 2 + 7 Combine like terms: -7 + 7 = 0 0 + -6x = 2 + 7 -6x = 2 + 7 Combine like terms: 2 + 7 = 9 -6x = 9 Divide each side by '-6'. x = -1.5 Simplifying x = -1.5
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