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Simplifying 6(3x + -8) + 3 = 4(5 + -1x) + -13 Reorder the terms: 6(-8 + 3x) + 3 = 4(5 + -1x) + -13 (-8 * 6 + 3x * 6) + 3 = 4(5 + -1x) + -13 (-48 + 18x) + 3 = 4(5 + -1x) + -13 Reorder the terms: -48 + 3 + 18x = 4(5 + -1x) + -13 Combine like terms: -48 + 3 = -45 -45 + 18x = 4(5 + -1x) + -13 -45 + 18x = (5 * 4 + -1x * 4) + -13 -45 + 18x = (20 + -4x) + -13 Reorder the terms: -45 + 18x = 20 + -13 + -4x Combine like terms: 20 + -13 = 7 -45 + 18x = 7 + -4x Solving -45 + 18x = 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. -45 + 18x + 4x = 7 + -4x + 4x Combine like terms: 18x + 4x = 22x -45 + 22x = 7 + -4x + 4x Combine like terms: -4x + 4x = 0 -45 + 22x = 7 + 0 -45 + 22x = 7 Add '45' to each side of the equation. -45 + 45 + 22x = 7 + 45 Combine like terms: -45 + 45 = 0 0 + 22x = 7 + 45 22x = 7 + 45 Combine like terms: 7 + 45 = 52 22x = 52 Divide each side by '22'. x = 2.363636364 Simplifying x = 2.363636364
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