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Simplifying 5 + -1(x + 3) = 3x + 4(x + -9) Reorder the terms: 5 + -1(3 + x) = 3x + 4(x + -9) 5 + (3 * -1 + x * -1) = 3x + 4(x + -9) 5 + (-3 + -1x) = 3x + 4(x + -9) Combine like terms: 5 + -3 = 2 2 + -1x = 3x + 4(x + -9) Reorder the terms: 2 + -1x = 3x + 4(-9 + x) 2 + -1x = 3x + (-9 * 4 + x * 4) 2 + -1x = 3x + (-36 + 4x) Reorder the terms: 2 + -1x = -36 + 3x + 4x Combine like terms: 3x + 4x = 7x 2 + -1x = -36 + 7x Solving 2 + -1x = -36 + 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. 2 + -1x + -7x = -36 + 7x + -7x Combine like terms: -1x + -7x = -8x 2 + -8x = -36 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + -8x = -36 + 0 2 + -8x = -36 Add '-2' to each side of the equation. 2 + -2 + -8x = -36 + -2 Combine like terms: 2 + -2 = 0 0 + -8x = -36 + -2 -8x = -36 + -2 Combine like terms: -36 + -2 = -38 -8x = -38 Divide each side by '-8'. x = 4.75 Simplifying x = 4.75
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