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Simplifying 48 = 2x + 2(-5x + -4) Reorder the terms: 48 = 2x + 2(-4 + -5x) 48 = 2x + (-4 * 2 + -5x * 2) 48 = 2x + (-8 + -10x) Reorder the terms: 48 = -8 + 2x + -10x Combine like terms: 2x + -10x = -8x 48 = -8 + -8x Solving 48 = -8 + -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. 48 + 8x = -8 + -8x + 8x Combine like terms: -8x + 8x = 0 48 + 8x = -8 + 0 48 + 8x = -8 Add '-48' to each side of the equation. 48 + -48 + 8x = -8 + -48 Combine like terms: 48 + -48 = 0 0 + 8x = -8 + -48 8x = -8 + -48 Combine like terms: -8 + -48 = -56 8x = -56 Divide each side by '8'. x = -7 Simplifying x = -7
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