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Simplifying 5(x + 3) = -0.75(8x + 4) + 2x Reorder the terms: 5(3 + x) = -0.75(8x + 4) + 2x (3 * 5 + x * 5) = -0.75(8x + 4) + 2x (15 + 5x) = -0.75(8x + 4) + 2x Reorder the terms: 15 + 5x = -0.75(4 + 8x) + 2x 15 + 5x = (4 * -0.75 + 8x * -0.75) + 2x 15 + 5x = (-3 + -6x) + 2x Combine like terms: -6x + 2x = -4x 15 + 5x = -3 + -4x Solving 15 + 5x = -3 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 15 + 5x + 4x = -3 + -4x + 4x Combine like terms: 5x + 4x = 9x 15 + 9x = -3 + -4x + 4x Combine like terms: -4x + 4x = 0 15 + 9x = -3 + 0 15 + 9x = -3 Add '-15' to each side of the equation. 15 + -15 + 9x = -3 + -15 Combine like terms: 15 + -15 = 0 0 + 9x = -3 + -15 9x = -3 + -15 Combine like terms: -3 + -15 = -18 9x = -18 Divide each side by '9'. x = -2 Simplifying x = -2
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