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Simplifying 5(x + 1) + -3(2x + 4) = 2(x + 7) Reorder the terms: 5(1 + x) + -3(2x + 4) = 2(x + 7) (1 * 5 + x * 5) + -3(2x + 4) = 2(x + 7) (5 + 5x) + -3(2x + 4) = 2(x + 7) Reorder the terms: 5 + 5x + -3(4 + 2x) = 2(x + 7) 5 + 5x + (4 * -3 + 2x * -3) = 2(x + 7) 5 + 5x + (-12 + -6x) = 2(x + 7) Reorder the terms: 5 + -12 + 5x + -6x = 2(x + 7) Combine like terms: 5 + -12 = -7 -7 + 5x + -6x = 2(x + 7) Combine like terms: 5x + -6x = -1x -7 + -1x = 2(x + 7) Reorder the terms: -7 + -1x = 2(7 + x) -7 + -1x = (7 * 2 + x * 2) -7 + -1x = (14 + 2x) Solving -7 + -1x = 14 + 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. -7 + -1x + -2x = 14 + 2x + -2x Combine like terms: -1x + -2x = -3x -7 + -3x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + -3x = 14 + 0 -7 + -3x = 14 Add '7' to each side of the equation. -7 + 7 + -3x = 14 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 14 + 7 -3x = 14 + 7 Combine like terms: 14 + 7 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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