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Simplifying 5(3x + -4) + -4(2x + -17) = 2(3x + 3) + -5 Reorder the terms: 5(-4 + 3x) + -4(2x + -17) = 2(3x + 3) + -5 (-4 * 5 + 3x * 5) + -4(2x + -17) = 2(3x + 3) + -5 (-20 + 15x) + -4(2x + -17) = 2(3x + 3) + -5 Reorder the terms: -20 + 15x + -4(-17 + 2x) = 2(3x + 3) + -5 -20 + 15x + (-17 * -4 + 2x * -4) = 2(3x + 3) + -5 -20 + 15x + (68 + -8x) = 2(3x + 3) + -5 Reorder the terms: -20 + 68 + 15x + -8x = 2(3x + 3) + -5 Combine like terms: -20 + 68 = 48 48 + 15x + -8x = 2(3x + 3) + -5 Combine like terms: 15x + -8x = 7x 48 + 7x = 2(3x + 3) + -5 Reorder the terms: 48 + 7x = 2(3 + 3x) + -5 48 + 7x = (3 * 2 + 3x * 2) + -5 48 + 7x = (6 + 6x) + -5 Reorder the terms: 48 + 7x = 6 + -5 + 6x Combine like terms: 6 + -5 = 1 48 + 7x = 1 + 6x Solving 48 + 7x = 1 + 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. 48 + 7x + -6x = 1 + 6x + -6x Combine like terms: 7x + -6x = 1x 48 + 1x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 48 + 1x = 1 + 0 48 + 1x = 1 Add '-48' to each side of the equation. 48 + -48 + 1x = 1 + -48 Combine like terms: 48 + -48 = 0 0 + 1x = 1 + -48 1x = 1 + -48 Combine like terms: 1 + -48 = -47 1x = -47 Divide each side by '1'. x = -47 Simplifying x = -47
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