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Simplifying 4(x + -2) + 2x + -7 = -2x + 1 Reorder the terms: 4(-2 + x) + 2x + -7 = -2x + 1 (-2 * 4 + x * 4) + 2x + -7 = -2x + 1 (-8 + 4x) + 2x + -7 = -2x + 1 Reorder the terms: -8 + -7 + 4x + 2x = -2x + 1 Combine like terms: -8 + -7 = -15 -15 + 4x + 2x = -2x + 1 Combine like terms: 4x + 2x = 6x -15 + 6x = -2x + 1 Reorder the terms: -15 + 6x = 1 + -2x Solving -15 + 6x = 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. -15 + 6x + 2x = 1 + -2x + 2x Combine like terms: 6x + 2x = 8x -15 + 8x = 1 + -2x + 2x Combine like terms: -2x + 2x = 0 -15 + 8x = 1 + 0 -15 + 8x = 1 Add '15' to each side of the equation. -15 + 15 + 8x = 1 + 15 Combine like terms: -15 + 15 = 0 0 + 8x = 1 + 15 8x = 1 + 15 Combine like terms: 1 + 15 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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