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Simplifying 4(x + -1) + -8 = 6(3x + -2) + -7 Reorder the terms: 4(-1 + x) + -8 = 6(3x + -2) + -7 (-1 * 4 + x * 4) + -8 = 6(3x + -2) + -7 (-4 + 4x) + -8 = 6(3x + -2) + -7 Reorder the terms: -4 + -8 + 4x = 6(3x + -2) + -7 Combine like terms: -4 + -8 = -12 -12 + 4x = 6(3x + -2) + -7 Reorder the terms: -12 + 4x = 6(-2 + 3x) + -7 -12 + 4x = (-2 * 6 + 3x * 6) + -7 -12 + 4x = (-12 + 18x) + -7 Reorder the terms: -12 + 4x = -12 + -7 + 18x Combine like terms: -12 + -7 = -19 -12 + 4x = -19 + 18x Solving -12 + 4x = -19 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -12 + 4x + -18x = -19 + 18x + -18x Combine like terms: 4x + -18x = -14x -12 + -14x = -19 + 18x + -18x Combine like terms: 18x + -18x = 0 -12 + -14x = -19 + 0 -12 + -14x = -19 Add '12' to each side of the equation. -12 + 12 + -14x = -19 + 12 Combine like terms: -12 + 12 = 0 0 + -14x = -19 + 12 -14x = -19 + 12 Combine like terms: -19 + 12 = -7 -14x = -7 Divide each side by '-14'. x = 0.5 Simplifying x = 0.5
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