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Simplifying 3.6(x + 7) = 5.8(x + -4) Reorder the terms: 3.6(7 + x) = 5.8(x + -4) (7 * 3.6 + x * 3.6) = 5.8(x + -4) (25.2 + 3.6x) = 5.8(x + -4) Reorder the terms: 25.2 + 3.6x = 5.8(-4 + x) 25.2 + 3.6x = (-4 * 5.8 + x * 5.8) 25.2 + 3.6x = (-23.2 + 5.8x) Solving 25.2 + 3.6x = -23.2 + 5.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.8x' to each side of the equation. 25.2 + 3.6x + -5.8x = -23.2 + 5.8x + -5.8x Combine like terms: 3.6x + -5.8x = -2.2x 25.2 + -2.2x = -23.2 + 5.8x + -5.8x Combine like terms: 5.8x + -5.8x = 0.0 25.2 + -2.2x = -23.2 + 0.0 25.2 + -2.2x = -23.2 Add '-25.2' to each side of the equation. 25.2 + -25.2 + -2.2x = -23.2 + -25.2 Combine like terms: 25.2 + -25.2 = 0.0 0.0 + -2.2x = -23.2 + -25.2 -2.2x = -23.2 + -25.2 Combine like terms: -23.2 + -25.2 = -48.4 -2.2x = -48.4 Divide each side by '-2.2'. x = 22 Simplifying x = 22
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