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Simplifying 5(1 + -2x) = 3(2x + 3) + -4(3x + 8) (1 * 5 + -2x * 5) = 3(2x + 3) + -4(3x + 8) (5 + -10x) = 3(2x + 3) + -4(3x + 8) Reorder the terms: 5 + -10x = 3(3 + 2x) + -4(3x + 8) 5 + -10x = (3 * 3 + 2x * 3) + -4(3x + 8) 5 + -10x = (9 + 6x) + -4(3x + 8) Reorder the terms: 5 + -10x = 9 + 6x + -4(8 + 3x) 5 + -10x = 9 + 6x + (8 * -4 + 3x * -4) 5 + -10x = 9 + 6x + (-32 + -12x) Reorder the terms: 5 + -10x = 9 + -32 + 6x + -12x Combine like terms: 9 + -32 = -23 5 + -10x = -23 + 6x + -12x Combine like terms: 6x + -12x = -6x 5 + -10x = -23 + -6x Solving 5 + -10x = -23 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 5 + -10x + 6x = -23 + -6x + 6x Combine like terms: -10x + 6x = -4x 5 + -4x = -23 + -6x + 6x Combine like terms: -6x + 6x = 0 5 + -4x = -23 + 0 5 + -4x = -23 Add '-5' to each side of the equation. 5 + -5 + -4x = -23 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = -23 + -5 -4x = -23 + -5 Combine like terms: -23 + -5 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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