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Simplifying -1.4(x + 7.6) + -7.4 = 6(x + 3) + -12 Reorder the terms: -1.4(7.6 + x) + -7.4 = 6(x + 3) + -12 (7.6 * -1.4 + x * -1.4) + -7.4 = 6(x + 3) + -12 (-10.64 + -1.4x) + -7.4 = 6(x + 3) + -12 Reorder the terms: -10.64 + -7.4 + -1.4x = 6(x + 3) + -12 Combine like terms: -10.64 + -7.4 = -18.04 -18.04 + -1.4x = 6(x + 3) + -12 Reorder the terms: -18.04 + -1.4x = 6(3 + x) + -12 -18.04 + -1.4x = (3 * 6 + x * 6) + -12 -18.04 + -1.4x = (18 + 6x) + -12 Reorder the terms: -18.04 + -1.4x = 18 + -12 + 6x Combine like terms: 18 + -12 = 6 -18.04 + -1.4x = 6 + 6x Solving -18.04 + -1.4x = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -18.04 + -1.4x + -6x = 6 + 6x + -6x Combine like terms: -1.4x + -6x = -7.4x -18.04 + -7.4x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -18.04 + -7.4x = 6 + 0 -18.04 + -7.4x = 6 Add '18.04' to each side of the equation. -18.04 + 18.04 + -7.4x = 6 + 18.04 Combine like terms: -18.04 + 18.04 = 0.00 0.00 + -7.4x = 6 + 18.04 -7.4x = 6 + 18.04 Combine like terms: 6 + 18.04 = 24.04 -7.4x = 24.04 Divide each side by '-7.4'. x = -3.248648649 Simplifying x = -3.248648649
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