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Simplifying 2(5x + -4) + 7 = 3x + 1 + -1x Reorder the terms: 2(-4 + 5x) + 7 = 3x + 1 + -1x (-4 * 2 + 5x * 2) + 7 = 3x + 1 + -1x (-8 + 10x) + 7 = 3x + 1 + -1x Reorder the terms: -8 + 7 + 10x = 3x + 1 + -1x Combine like terms: -8 + 7 = -1 -1 + 10x = 3x + 1 + -1x Reorder the terms: -1 + 10x = 1 + 3x + -1x Combine like terms: 3x + -1x = 2x -1 + 10x = 1 + 2x Solving -1 + 10x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -1 + 10x + -2x = 1 + 2x + -2x Combine like terms: 10x + -2x = 8x -1 + 8x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 8x = 1 + 0 -1 + 8x = 1 Add '1' to each side of the equation. -1 + 1 + 8x = 1 + 1 Combine like terms: -1 + 1 = 0 0 + 8x = 1 + 1 8x = 1 + 1 Combine like terms: 1 + 1 = 2 8x = 2 Divide each side by '8'. x = 0.25 Simplifying x = 0.25
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