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Simplifying 3(x + -3) + 5x + 16 = 4(x + -5) + -2(2x + 1) Reorder the terms: 3(-3 + x) + 5x + 16 = 4(x + -5) + -2(2x + 1) (-3 * 3 + x * 3) + 5x + 16 = 4(x + -5) + -2(2x + 1) (-9 + 3x) + 5x + 16 = 4(x + -5) + -2(2x + 1) Reorder the terms: -9 + 16 + 3x + 5x = 4(x + -5) + -2(2x + 1) Combine like terms: -9 + 16 = 7 7 + 3x + 5x = 4(x + -5) + -2(2x + 1) Combine like terms: 3x + 5x = 8x 7 + 8x = 4(x + -5) + -2(2x + 1) Reorder the terms: 7 + 8x = 4(-5 + x) + -2(2x + 1) 7 + 8x = (-5 * 4 + x * 4) + -2(2x + 1) 7 + 8x = (-20 + 4x) + -2(2x + 1) Reorder the terms: 7 + 8x = -20 + 4x + -2(1 + 2x) 7 + 8x = -20 + 4x + (1 * -2 + 2x * -2) 7 + 8x = -20 + 4x + (-2 + -4x) Reorder the terms: 7 + 8x = -20 + -2 + 4x + -4x Combine like terms: -20 + -2 = -22 7 + 8x = -22 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + 8x = -22 + 0 7 + 8x = -22 Solving 7 + 8x = -22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 8x = -22 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = -22 + -7 8x = -22 + -7 Combine like terms: -22 + -7 = -29 8x = -29 Divide each side by '8'. x = -3.625 Simplifying x = -3.625
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