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Simplifying 4x + -7 + 2x = 2(2 + 5x) + -3 Reorder the terms: -7 + 4x + 2x = 2(2 + 5x) + -3 Combine like terms: 4x + 2x = 6x -7 + 6x = 2(2 + 5x) + -3 -7 + 6x = (2 * 2 + 5x * 2) + -3 -7 + 6x = (4 + 10x) + -3 Reorder the terms: -7 + 6x = 4 + -3 + 10x Combine like terms: 4 + -3 = 1 -7 + 6x = 1 + 10x Solving -7 + 6x = 1 + 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 + 6x + -10x = 1 + 10x + -10x Combine like terms: 6x + -10x = -4x -7 + -4x = 1 + 10x + -10x Combine like terms: 10x + -10x = 0 -7 + -4x = 1 + 0 -7 + -4x = 1 Add '7' to each side of the equation. -7 + 7 + -4x = 1 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = 1 + 7 -4x = 1 + 7 Combine like terms: 1 + 7 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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