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Simplifying 9x + 2 + -4x = -2(x + -4) + 3x + -7 Reorder the terms: 2 + 9x + -4x = -2(x + -4) + 3x + -7 Combine like terms: 9x + -4x = 5x 2 + 5x = -2(x + -4) + 3x + -7 Reorder the terms: 2 + 5x = -2(-4 + x) + 3x + -7 2 + 5x = (-4 * -2 + x * -2) + 3x + -7 2 + 5x = (8 + -2x) + 3x + -7 Reorder the terms: 2 + 5x = 8 + -7 + -2x + 3x Combine like terms: 8 + -7 = 1 2 + 5x = 1 + -2x + 3x Combine like terms: -2x + 3x = 1x 2 + 5x = 1 + 1x Solving 2 + 5x = 1 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 2 + 5x + -1x = 1 + 1x + -1x Combine like terms: 5x + -1x = 4x 2 + 4x = 1 + 1x + -1x Combine like terms: 1x + -1x = 0 2 + 4x = 1 + 0 2 + 4x = 1 Add '-2' to each side of the equation. 2 + -2 + 4x = 1 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = 1 + -2 4x = 1 + -2 Combine like terms: 1 + -2 = -1 4x = -1 Divide each side by '4'. x = -0.25 Simplifying x = -0.25
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