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Simplifying 4(x + -3) = 6(7 + -1x) + -5 Reorder the terms: 4(-3 + x) = 6(7 + -1x) + -5 (-3 * 4 + x * 4) = 6(7 + -1x) + -5 (-12 + 4x) = 6(7 + -1x) + -5 -12 + 4x = (7 * 6 + -1x * 6) + -5 -12 + 4x = (42 + -6x) + -5 Reorder the terms: -12 + 4x = 42 + -5 + -6x Combine like terms: 42 + -5 = 37 -12 + 4x = 37 + -6x Solving -12 + 4x = 37 + -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. -12 + 4x + 6x = 37 + -6x + 6x Combine like terms: 4x + 6x = 10x -12 + 10x = 37 + -6x + 6x Combine like terms: -6x + 6x = 0 -12 + 10x = 37 + 0 -12 + 10x = 37 Add '12' to each side of the equation. -12 + 12 + 10x = 37 + 12 Combine like terms: -12 + 12 = 0 0 + 10x = 37 + 12 10x = 37 + 12 Combine like terms: 37 + 12 = 49 10x = 49 Divide each side by '10'. x = 4.9 Simplifying x = 4.9
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