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Simplifying 5(-3 + -2x) + -8(6 + 3x) = -10x + 3x (-3 * 5 + -2x * 5) + -8(6 + 3x) = -10x + 3x (-15 + -10x) + -8(6 + 3x) = -10x + 3x -15 + -10x + (6 * -8 + 3x * -8) = -10x + 3x -15 + -10x + (-48 + -24x) = -10x + 3x Reorder the terms: -15 + -48 + -10x + -24x = -10x + 3x Combine like terms: -15 + -48 = -63 -63 + -10x + -24x = -10x + 3x Combine like terms: -10x + -24x = -34x -63 + -34x = -10x + 3x Combine like terms: -10x + 3x = -7x -63 + -34x = -7x Solving -63 + -34x = -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. -63 + -34x + 7x = -7x + 7x Combine like terms: -34x + 7x = -27x -63 + -27x = -7x + 7x Combine like terms: -7x + 7x = 0 -63 + -27x = 0 Add '63' to each side of the equation. -63 + 63 + -27x = 0 + 63 Combine like terms: -63 + 63 = 0 0 + -27x = 0 + 63 -27x = 0 + 63 Combine like terms: 0 + 63 = 63 -27x = 63 Divide each side by '-27'. x = -2.333333333 Simplifying x = -2.333333333
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