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Simplifying 48 = -4(x + 8) + -3(5 + 5x) Reorder the terms: 48 = -4(8 + x) + -3(5 + 5x) 48 = (8 * -4 + x * -4) + -3(5 + 5x) 48 = (-32 + -4x) + -3(5 + 5x) 48 = -32 + -4x + (5 * -3 + 5x * -3) 48 = -32 + -4x + (-15 + -15x) Reorder the terms: 48 = -32 + -15 + -4x + -15x Combine like terms: -32 + -15 = -47 48 = -47 + -4x + -15x Combine like terms: -4x + -15x = -19x 48 = -47 + -19x Solving 48 = -47 + -19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19x' to each side of the equation. 48 + 19x = -47 + -19x + 19x Combine like terms: -19x + 19x = 0 48 + 19x = -47 + 0 48 + 19x = -47 Add '-48' to each side of the equation. 48 + -48 + 19x = -47 + -48 Combine like terms: 48 + -48 = 0 0 + 19x = -47 + -48 19x = -47 + -48 Combine like terms: -47 + -48 = -95 19x = -95 Divide each side by '19'. x = -5 Simplifying x = -5
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