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Simplifying 3(2x + -5) + -1x = 0.7(x + 3) Reorder the terms: 3(-5 + 2x) + -1x = 0.7(x + 3) (-5 * 3 + 2x * 3) + -1x = 0.7(x + 3) (-15 + 6x) + -1x = 0.7(x + 3) Combine like terms: 6x + -1x = 5x -15 + 5x = 0.7(x + 3) Reorder the terms: -15 + 5x = 0.7(3 + x) -15 + 5x = (3 * 0.7 + x * 0.7) -15 + 5x = (2.1 + 0.7x) Solving -15 + 5x = 2.1 + 0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7x' to each side of the equation. -15 + 5x + -0.7x = 2.1 + 0.7x + -0.7x Combine like terms: 5x + -0.7x = 4.3x -15 + 4.3x = 2.1 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 -15 + 4.3x = 2.1 + 0.0 -15 + 4.3x = 2.1 Add '15' to each side of the equation. -15 + 15 + 4.3x = 2.1 + 15 Combine like terms: -15 + 15 = 0 0 + 4.3x = 2.1 + 15 4.3x = 2.1 + 15 Combine like terms: 2.1 + 15 = 17.1 4.3x = 17.1 Divide each side by '4.3'. x = 3.976744186 Simplifying x = 3.976744186
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