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Simplifying 1.2(x + -6) + 1 = 2(x + -10) + -3 Reorder the terms: 1.2(-6 + x) + 1 = 2(x + -10) + -3 (-6 * 1.2 + x * 1.2) + 1 = 2(x + -10) + -3 (-7.2 + 1.2x) + 1 = 2(x + -10) + -3 Reorder the terms: -7.2 + 1 + 1.2x = 2(x + -10) + -3 Combine like terms: -7.2 + 1 = -6.2 -6.2 + 1.2x = 2(x + -10) + -3 Reorder the terms: -6.2 + 1.2x = 2(-10 + x) + -3 -6.2 + 1.2x = (-10 * 2 + x * 2) + -3 -6.2 + 1.2x = (-20 + 2x) + -3 Reorder the terms: -6.2 + 1.2x = -20 + -3 + 2x Combine like terms: -20 + -3 = -23 -6.2 + 1.2x = -23 + 2x Solving -6.2 + 1.2x = -23 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6.2 + 1.2x + -2x = -23 + 2x + -2x Combine like terms: 1.2x + -2x = -0.8x -6.2 + -0.8x = -23 + 2x + -2x Combine like terms: 2x + -2x = 0 -6.2 + -0.8x = -23 + 0 -6.2 + -0.8x = -23 Add '6.2' to each side of the equation. -6.2 + 6.2 + -0.8x = -23 + 6.2 Combine like terms: -6.2 + 6.2 = 0.0 0.0 + -0.8x = -23 + 6.2 -0.8x = -23 + 6.2 Combine like terms: -23 + 6.2 = -16.8 -0.8x = -16.8 Divide each side by '-0.8'. x = 21 Simplifying x = 21
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