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Simplifying -2(x + 8) = 0.3(3x + 15) Reorder the terms: -2(8 + x) = 0.3(3x + 15) (8 * -2 + x * -2) = 0.3(3x + 15) (-16 + -2x) = 0.3(3x + 15) Reorder the terms: -16 + -2x = 0.3(15 + 3x) -16 + -2x = (15 * 0.3 + 3x * 0.3) -16 + -2x = (4.5 + 0.9x) Solving -16 + -2x = 4.5 + 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. -16 + -2x + -0.9x = 4.5 + 0.9x + -0.9x Combine like terms: -2x + -0.9x = -2.9x -16 + -2.9x = 4.5 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 -16 + -2.9x = 4.5 + 0.0 -16 + -2.9x = 4.5 Add '16' to each side of the equation. -16 + 16 + -2.9x = 4.5 + 16 Combine like terms: -16 + 16 = 0 0 + -2.9x = 4.5 + 16 -2.9x = 4.5 + 16 Combine like terms: 4.5 + 16 = 20.5 -2.9x = 20.5 Divide each side by '-2.9'. x = -7.068965517 Simplifying x = -7.068965517
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