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Simplifying 5(x + -3) + 4(8 + 3) = 3(x + -1) Reorder the terms: 5(-3 + x) + 4(8 + 3) = 3(x + -1) (-3 * 5 + x * 5) + 4(8 + 3) = 3(x + -1) (-15 + 5x) + 4(8 + 3) = 3(x + -1) Combine like terms: 8 + 3 = 11 -15 + 5x + 4(11) = 3(x + -1) Multiply 4 * 11 -15 + 5x + 44 = 3(x + -1) Reorder the terms: -15 + 44 + 5x = 3(x + -1) Combine like terms: -15 + 44 = 29 29 + 5x = 3(x + -1) Reorder the terms: 29 + 5x = 3(-1 + x) 29 + 5x = (-1 * 3 + x * 3) 29 + 5x = (-3 + 3x) Solving 29 + 5x = -3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 29 + 5x + -3x = -3 + 3x + -3x Combine like terms: 5x + -3x = 2x 29 + 2x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 29 + 2x = -3 + 0 29 + 2x = -3 Add '-29' to each side of the equation. 29 + -29 + 2x = -3 + -29 Combine like terms: 29 + -29 = 0 0 + 2x = -3 + -29 2x = -3 + -29 Combine like terms: -3 + -29 = -32 2x = -32 Divide each side by '2'. x = -16 Simplifying x = -16
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