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Simplifying 4(x + 17) = 3(x + -1.4) + 7.8 Reorder the terms: 4(17 + x) = 3(x + -1.4) + 7.8 (17 * 4 + x * 4) = 3(x + -1.4) + 7.8 (68 + 4x) = 3(x + -1.4) + 7.8 Reorder the terms: 68 + 4x = 3(-1.4 + x) + 7.8 68 + 4x = (-1.4 * 3 + x * 3) + 7.8 68 + 4x = (-4.2 + 3x) + 7.8 Reorder the terms: 68 + 4x = -4.2 + 7.8 + 3x Combine like terms: -4.2 + 7.8 = 3.6 68 + 4x = 3.6 + 3x Solving 68 + 4x = 3.6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 68 + 4x + -3x = 3.6 + 3x + -3x Combine like terms: 4x + -3x = 1x 68 + 1x = 3.6 + 3x + -3x Combine like terms: 3x + -3x = 0 68 + 1x = 3.6 + 0 68 + 1x = 3.6 Add '-68' to each side of the equation. 68 + -68 + 1x = 3.6 + -68 Combine like terms: 68 + -68 = 0 0 + 1x = 3.6 + -68 1x = 3.6 + -68 Combine like terms: 3.6 + -68 = -64.4 1x = -64.4 Divide each side by '1'. x = -64.4 Simplifying x = -64.4
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