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Simplifying 3(2x + -5) + 4 = 4(6x + 2) + -1 Reorder the terms: 3(-5 + 2x) + 4 = 4(6x + 2) + -1 (-5 * 3 + 2x * 3) + 4 = 4(6x + 2) + -1 (-15 + 6x) + 4 = 4(6x + 2) + -1 Reorder the terms: -15 + 4 + 6x = 4(6x + 2) + -1 Combine like terms: -15 + 4 = -11 -11 + 6x = 4(6x + 2) + -1 Reorder the terms: -11 + 6x = 4(2 + 6x) + -1 -11 + 6x = (2 * 4 + 6x * 4) + -1 -11 + 6x = (8 + 24x) + -1 Reorder the terms: -11 + 6x = 8 + -1 + 24x Combine like terms: 8 + -1 = 7 -11 + 6x = 7 + 24x Solving -11 + 6x = 7 + 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. -11 + 6x + -24x = 7 + 24x + -24x Combine like terms: 6x + -24x = -18x -11 + -18x = 7 + 24x + -24x Combine like terms: 24x + -24x = 0 -11 + -18x = 7 + 0 -11 + -18x = 7 Add '11' to each side of the equation. -11 + 11 + -18x = 7 + 11 Combine like terms: -11 + 11 = 0 0 + -18x = 7 + 11 -18x = 7 + 11 Combine like terms: 7 + 11 = 18 -18x = 18 Divide each side by '-18'. x = -1 Simplifying x = -1
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