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Simplifying 2(x + -4) + -3 = 6x + -4(4 + 6) Reorder the terms: 2(-4 + x) + -3 = 6x + -4(4 + 6) (-4 * 2 + x * 2) + -3 = 6x + -4(4 + 6) (-8 + 2x) + -3 = 6x + -4(4 + 6) Reorder the terms: -8 + -3 + 2x = 6x + -4(4 + 6) Combine like terms: -8 + -3 = -11 -11 + 2x = 6x + -4(4 + 6) Combine like terms: 4 + 6 = 10 -11 + 2x = 6x + -4(10) Multiply -4 * 10 -11 + 2x = 6x + -40 Reorder the terms: -11 + 2x = -40 + 6x Solving -11 + 2x = -40 + 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. -11 + 2x + -6x = -40 + 6x + -6x Combine like terms: 2x + -6x = -4x -11 + -4x = -40 + 6x + -6x Combine like terms: 6x + -6x = 0 -11 + -4x = -40 + 0 -11 + -4x = -40 Add '11' to each side of the equation. -11 + 11 + -4x = -40 + 11 Combine like terms: -11 + 11 = 0 0 + -4x = -40 + 11 -4x = -40 + 11 Combine like terms: -40 + 11 = -29 -4x = -29 Divide each side by '-4'. x = 7.25 Simplifying x = 7.25
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