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Simplifying 3(x + -5) + 4 = 6x + -2(x + -4) Reorder the terms: 3(-5 + x) + 4 = 6x + -2(x + -4) (-5 * 3 + x * 3) + 4 = 6x + -2(x + -4) (-15 + 3x) + 4 = 6x + -2(x + -4) Reorder the terms: -15 + 4 + 3x = 6x + -2(x + -4) Combine like terms: -15 + 4 = -11 -11 + 3x = 6x + -2(x + -4) Reorder the terms: -11 + 3x = 6x + -2(-4 + x) -11 + 3x = 6x + (-4 * -2 + x * -2) -11 + 3x = 6x + (8 + -2x) Reorder the terms: -11 + 3x = 8 + 6x + -2x Combine like terms: 6x + -2x = 4x -11 + 3x = 8 + 4x Solving -11 + 3x = 8 + 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. -11 + 3x + -4x = 8 + 4x + -4x Combine like terms: 3x + -4x = -1x -11 + -1x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -11 + -1x = 8 + 0 -11 + -1x = 8 Add '11' to each side of the equation. -11 + 11 + -1x = 8 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = 8 + 11 -1x = 8 + 11 Combine like terms: 8 + 11 = 19 -1x = 19 Divide each side by '-1'. x = -19 Simplifying x = -19
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