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Simplifying 3(0.3x + -5) = 7 + -2(0.3x + 2) Reorder the terms: 3(-5 + 0.3x) = 7 + -2(0.3x + 2) (-5 * 3 + 0.3x * 3) = 7 + -2(0.3x + 2) (-15 + 0.9x) = 7 + -2(0.3x + 2) Reorder the terms: -15 + 0.9x = 7 + -2(2 + 0.3x) -15 + 0.9x = 7 + (2 * -2 + 0.3x * -2) -15 + 0.9x = 7 + (-4 + -0.6x) Combine like terms: 7 + -4 = 3 -15 + 0.9x = 3 + -0.6x Solving -15 + 0.9x = 3 + -0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6x' to each side of the equation. -15 + 0.9x + 0.6x = 3 + -0.6x + 0.6x Combine like terms: 0.9x + 0.6x = 1.5x -15 + 1.5x = 3 + -0.6x + 0.6x Combine like terms: -0.6x + 0.6x = 0.0 -15 + 1.5x = 3 + 0.0 -15 + 1.5x = 3 Add '15' to each side of the equation. -15 + 15 + 1.5x = 3 + 15 Combine like terms: -15 + 15 = 0 0 + 1.5x = 3 + 15 1.5x = 3 + 15 Combine like terms: 3 + 15 = 18 1.5x = 18 Divide each side by '1.5'. x = 12 Simplifying x = 12
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