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Simplifying -40 + 7x = 4(2x + 2) + 7x Reorder the terms: -40 + 7x = 4(2 + 2x) + 7x -40 + 7x = (2 * 4 + 2x * 4) + 7x -40 + 7x = (8 + 8x) + 7x Combine like terms: 8x + 7x = 15x -40 + 7x = 8 + 15x Solving -40 + 7x = 8 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -40 + 7x + -15x = 8 + 15x + -15x Combine like terms: 7x + -15x = -8x -40 + -8x = 8 + 15x + -15x Combine like terms: 15x + -15x = 0 -40 + -8x = 8 + 0 -40 + -8x = 8 Add '40' to each side of the equation. -40 + 40 + -8x = 8 + 40 Combine like terms: -40 + 40 = 0 0 + -8x = 8 + 40 -8x = 8 + 40 Combine like terms: 8 + 40 = 48 -8x = 48 Divide each side by '-8'. x = -6 Simplifying x = -6
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