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Simplifying 1x + 3(-5x + 4) = -5x + 48 Reorder the terms: 1x + 3(4 + -5x) = -5x + 48 1x + (4 * 3 + -5x * 3) = -5x + 48 1x + (12 + -15x) = -5x + 48 Reorder the terms: 12 + 1x + -15x = -5x + 48 Combine like terms: 1x + -15x = -14x 12 + -14x = -5x + 48 Reorder the terms: 12 + -14x = 48 + -5x Solving 12 + -14x = 48 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 12 + -14x + 5x = 48 + -5x + 5x Combine like terms: -14x + 5x = -9x 12 + -9x = 48 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + -9x = 48 + 0 12 + -9x = 48 Add '-12' to each side of the equation. 12 + -12 + -9x = 48 + -12 Combine like terms: 12 + -12 = 0 0 + -9x = 48 + -12 -9x = 48 + -12 Combine like terms: 48 + -12 = 36 -9x = 36 Divide each side by '-9'. x = -4 Simplifying x = -4
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