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Simplifying -5(2x + 3) + 7x = x + -1 Reorder the terms: -5(3 + 2x) + 7x = x + -1 (3 * -5 + 2x * -5) + 7x = x + -1 (-15 + -10x) + 7x = x + -1 Combine like terms: -10x + 7x = -3x -15 + -3x = x + -1 Reorder the terms: -15 + -3x = -1 + x Solving -15 + -3x = -1 + x 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. -15 + -3x + -1x = -1 + x + -1x Combine like terms: -3x + -1x = -4x -15 + -4x = -1 + x + -1x Combine like terms: x + -1x = 0 -15 + -4x = -1 + 0 -15 + -4x = -1 Add '15' to each side of the equation. -15 + 15 + -4x = -1 + 15 Combine like terms: -15 + 15 = 0 0 + -4x = -1 + 15 -4x = -1 + 15 Combine like terms: -1 + 15 = 14 -4x = 14 Divide each side by '-4'. x = -3.5 Simplifying x = -3.5
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