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Simplifying 22x + -10 = 8(3x + -6) Reorder the terms: -10 + 22x = 8(3x + -6) Reorder the terms: -10 + 22x = 8(-6 + 3x) -10 + 22x = (-6 * 8 + 3x * 8) -10 + 22x = (-48 + 24x) Solving -10 + 22x = -48 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -10 + 22x + -24x = -48 + 24x + -24x Combine like terms: 22x + -24x = -2x -10 + -2x = -48 + 24x + -24x Combine like terms: 24x + -24x = 0 -10 + -2x = -48 + 0 -10 + -2x = -48 Add '10' to each side of the equation. -10 + 10 + -2x = -48 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = -48 + 10 -2x = -48 + 10 Combine like terms: -48 + 10 = -38 -2x = -38 Divide each side by '-2'. x = 19 Simplifying x = 19
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