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Simplifying 7(3x + -2) + -5(4x + -3) = 4(x + -2) + 1 Reorder the terms: 7(-2 + 3x) + -5(4x + -3) = 4(x + -2) + 1 (-2 * 7 + 3x * 7) + -5(4x + -3) = 4(x + -2) + 1 (-14 + 21x) + -5(4x + -3) = 4(x + -2) + 1 Reorder the terms: -14 + 21x + -5(-3 + 4x) = 4(x + -2) + 1 -14 + 21x + (-3 * -5 + 4x * -5) = 4(x + -2) + 1 -14 + 21x + (15 + -20x) = 4(x + -2) + 1 Reorder the terms: -14 + 15 + 21x + -20x = 4(x + -2) + 1 Combine like terms: -14 + 15 = 1 1 + 21x + -20x = 4(x + -2) + 1 Combine like terms: 21x + -20x = 1x 1 + 1x = 4(x + -2) + 1 Reorder the terms: 1 + 1x = 4(-2 + x) + 1 1 + 1x = (-2 * 4 + x * 4) + 1 1 + 1x = (-8 + 4x) + 1 Reorder the terms: 1 + 1x = -8 + 1 + 4x Combine like terms: -8 + 1 = -7 1 + 1x = -7 + 4x Solving 1 + 1x = -7 + 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. 1 + 1x + -4x = -7 + 4x + -4x Combine like terms: 1x + -4x = -3x 1 + -3x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + -3x = -7 + 0 1 + -3x = -7 Add '-1' to each side of the equation. 1 + -1 + -3x = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = -7 + -1 -3x = -7 + -1 Combine like terms: -7 + -1 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667
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