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Simplifying -4(x + 3) + 2x + 5 = 7x + 7 Reorder the terms: -4(3 + x) + 2x + 5 = 7x + 7 (3 * -4 + x * -4) + 2x + 5 = 7x + 7 (-12 + -4x) + 2x + 5 = 7x + 7 Reorder the terms: -12 + 5 + -4x + 2x = 7x + 7 Combine like terms: -12 + 5 = -7 -7 + -4x + 2x = 7x + 7 Combine like terms: -4x + 2x = -2x -7 + -2x = 7x + 7 Reorder the terms: -7 + -2x = 7 + 7x Solving -7 + -2x = 7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -7 + -2x + -7x = 7 + 7x + -7x Combine like terms: -2x + -7x = -9x -7 + -9x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 -7 + -9x = 7 + 0 -7 + -9x = 7 Add '7' to each side of the equation. -7 + 7 + -9x = 7 + 7 Combine like terms: -7 + 7 = 0 0 + -9x = 7 + 7 -9x = 7 + 7 Combine like terms: 7 + 7 = 14 -9x = 14 Divide each side by '-9'. x = -1.555555556 Simplifying x = -1.555555556
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