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Simplifying 0.7(x + -3) + 0.5 = 1 + -0.5(6 + -2x) + -0.5 Reorder the terms: 0.7(-3 + x) + 0.5 = 1 + -0.5(6 + -2x) + -0.5 (-3 * 0.7 + x * 0.7) + 0.5 = 1 + -0.5(6 + -2x) + -0.5 (-2.1 + 0.7x) + 0.5 = 1 + -0.5(6 + -2x) + -0.5 Reorder the terms: -2.1 + 0.5 + 0.7x = 1 + -0.5(6 + -2x) + -0.5 Combine like terms: -2.1 + 0.5 = -1.6 -1.6 + 0.7x = 1 + -0.5(6 + -2x) + -0.5 -1.6 + 0.7x = 1 + (6 * -0.5 + -2x * -0.5) + -0.5 -1.6 + 0.7x = 1 + (-3 + 1x) + -0.5 Reorder the terms: -1.6 + 0.7x = 1 + -3 + -0.5 + 1x Combine like terms: 1 + -3 = -2 -1.6 + 0.7x = -2 + -0.5 + 1x Combine like terms: -2 + -0.5 = -2.5 -1.6 + 0.7x = -2.5 + 1x Solving -1.6 + 0.7x = -2.5 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -1.6 + 0.7x + -1x = -2.5 + 1x + -1x Combine like terms: 0.7x + -1x = -0.3x -1.6 + -0.3x = -2.5 + 1x + -1x Combine like terms: 1x + -1x = 0 -1.6 + -0.3x = -2.5 + 0 -1.6 + -0.3x = -2.5 Add '1.6' to each side of the equation. -1.6 + 1.6 + -0.3x = -2.5 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + -0.3x = -2.5 + 1.6 -0.3x = -2.5 + 1.6 Combine like terms: -2.5 + 1.6 = -0.9 -0.3x = -0.9 Divide each side by '-0.3'. x = 3 Simplifying x = 3
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