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Simplifying 4(x + 7) + -1(x + 15) = -11 + -8(x + -3) Reorder the terms: 4(7 + x) + -1(x + 15) = -11 + -8(x + -3) (7 * 4 + x * 4) + -1(x + 15) = -11 + -8(x + -3) (28 + 4x) + -1(x + 15) = -11 + -8(x + -3) Reorder the terms: 28 + 4x + -1(15 + x) = -11 + -8(x + -3) 28 + 4x + (15 * -1 + x * -1) = -11 + -8(x + -3) 28 + 4x + (-15 + -1x) = -11 + -8(x + -3) Reorder the terms: 28 + -15 + 4x + -1x = -11 + -8(x + -3) Combine like terms: 28 + -15 = 13 13 + 4x + -1x = -11 + -8(x + -3) Combine like terms: 4x + -1x = 3x 13 + 3x = -11 + -8(x + -3) Reorder the terms: 13 + 3x = -11 + -8(-3 + x) 13 + 3x = -11 + (-3 * -8 + x * -8) 13 + 3x = -11 + (24 + -8x) Combine like terms: -11 + 24 = 13 13 + 3x = 13 + -8x Add '-13' to each side of the equation. 13 + -13 + 3x = 13 + -13 + -8x Combine like terms: 13 + -13 = 0 0 + 3x = 13 + -13 + -8x 3x = 13 + -13 + -8x Combine like terms: 13 + -13 = 0 3x = 0 + -8x 3x = -8x Solving 3x = -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 3x + 8x = -8x + 8x Combine like terms: 3x + 8x = 11x 11x = -8x + 8x Combine like terms: -8x + 8x = 0 11x = 0 Divide each side by '11'. x = 0 Simplifying x = 0
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