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Simplifying 5.2(x + -3) + 7 = 4(x + 1) + -2 Reorder the terms: 5.2(-3 + x) + 7 = 4(x + 1) + -2 (-3 * 5.2 + x * 5.2) + 7 = 4(x + 1) + -2 (-15.6 + 5.2x) + 7 = 4(x + 1) + -2 Reorder the terms: -15.6 + 7 + 5.2x = 4(x + 1) + -2 Combine like terms: -15.6 + 7 = -8.6 -8.6 + 5.2x = 4(x + 1) + -2 Reorder the terms: -8.6 + 5.2x = 4(1 + x) + -2 -8.6 + 5.2x = (1 * 4 + x * 4) + -2 -8.6 + 5.2x = (4 + 4x) + -2 Reorder the terms: -8.6 + 5.2x = 4 + -2 + 4x Combine like terms: 4 + -2 = 2 -8.6 + 5.2x = 2 + 4x Solving -8.6 + 5.2x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -8.6 + 5.2x + -4x = 2 + 4x + -4x Combine like terms: 5.2x + -4x = 1.2x -8.6 + 1.2x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -8.6 + 1.2x = 2 + 0 -8.6 + 1.2x = 2 Add '8.6' to each side of the equation. -8.6 + 8.6 + 1.2x = 2 + 8.6 Combine like terms: -8.6 + 8.6 = 0.0 0.0 + 1.2x = 2 + 8.6 1.2x = 2 + 8.6 Combine like terms: 2 + 8.6 = 10.6 1.2x = 10.6 Divide each side by '1.2'. x = 8.833333333 Simplifying x = 8.833333333
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