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Simplifying 2(x + -5) + 3(x + -2) = 8 + 7(x + -4) Reorder the terms: 2(-5 + x) + 3(x + -2) = 8 + 7(x + -4) (-5 * 2 + x * 2) + 3(x + -2) = 8 + 7(x + -4) (-10 + 2x) + 3(x + -2) = 8 + 7(x + -4) Reorder the terms: -10 + 2x + 3(-2 + x) = 8 + 7(x + -4) -10 + 2x + (-2 * 3 + x * 3) = 8 + 7(x + -4) -10 + 2x + (-6 + 3x) = 8 + 7(x + -4) Reorder the terms: -10 + -6 + 2x + 3x = 8 + 7(x + -4) Combine like terms: -10 + -6 = -16 -16 + 2x + 3x = 8 + 7(x + -4) Combine like terms: 2x + 3x = 5x -16 + 5x = 8 + 7(x + -4) Reorder the terms: -16 + 5x = 8 + 7(-4 + x) -16 + 5x = 8 + (-4 * 7 + x * 7) -16 + 5x = 8 + (-28 + 7x) Combine like terms: 8 + -28 = -20 -16 + 5x = -20 + 7x Solving -16 + 5x = -20 + 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. -16 + 5x + -7x = -20 + 7x + -7x Combine like terms: 5x + -7x = -2x -16 + -2x = -20 + 7x + -7x Combine like terms: 7x + -7x = 0 -16 + -2x = -20 + 0 -16 + -2x = -20 Add '16' to each side of the equation. -16 + 16 + -2x = -20 + 16 Combine like terms: -16 + 16 = 0 0 + -2x = -20 + 16 -2x = -20 + 16 Combine like terms: -20 + 16 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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