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Simplifying -0.3(x + -7) + x = 0.5(6 + -1x) Reorder the terms: -0.3(-7 + x) + x = 0.5(6 + -1x) (-7 * -0.3 + x * -0.3) + x = 0.5(6 + -1x) (2.1 + -0.3x) + x = 0.5(6 + -1x) Combine like terms: -0.3x + x = 0.7x 2.1 + 0.7x = 0.5(6 + -1x) 2.1 + 0.7x = (6 * 0.5 + -1x * 0.5) 2.1 + 0.7x = (3 + -0.5x) Solving 2.1 + 0.7x = 3 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. 2.1 + 0.7x + 0.5x = 3 + -0.5x + 0.5x Combine like terms: 0.7x + 0.5x = 1.2x 2.1 + 1.2x = 3 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 2.1 + 1.2x = 3 + 0.0 2.1 + 1.2x = 3 Add '-2.1' to each side of the equation. 2.1 + -2.1 + 1.2x = 3 + -2.1 Combine like terms: 2.1 + -2.1 = 0.0 0.0 + 1.2x = 3 + -2.1 1.2x = 3 + -2.1 Combine like terms: 3 + -2.1 = 0.9 1.2x = 0.9 Divide each side by '1.2'. x = 0.75 Simplifying x = 0.75
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