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Simplifying 3(x + -3) + -7 = 18 + -5(x + 4) Reorder the terms: 3(-3 + x) + -7 = 18 + -5(x + 4) (-3 * 3 + x * 3) + -7 = 18 + -5(x + 4) (-9 + 3x) + -7 = 18 + -5(x + 4) Reorder the terms: -9 + -7 + 3x = 18 + -5(x + 4) Combine like terms: -9 + -7 = -16 -16 + 3x = 18 + -5(x + 4) Reorder the terms: -16 + 3x = 18 + -5(4 + x) -16 + 3x = 18 + (4 * -5 + x * -5) -16 + 3x = 18 + (-20 + -5x) Combine like terms: 18 + -20 = -2 -16 + 3x = -2 + -5x Solving -16 + 3x = -2 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -16 + 3x + 5x = -2 + -5x + 5x Combine like terms: 3x + 5x = 8x -16 + 8x = -2 + -5x + 5x Combine like terms: -5x + 5x = 0 -16 + 8x = -2 + 0 -16 + 8x = -2 Add '16' to each side of the equation. -16 + 16 + 8x = -2 + 16 Combine like terms: -16 + 16 = 0 0 + 8x = -2 + 16 8x = -2 + 16 Combine like terms: -2 + 16 = 14 8x = 14 Divide each side by '8'. x = 1.75 Simplifying x = 1.75
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